Deck 50: The Determinant of a Square Matrix

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Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Question
Find the determinant of the matrix by the method of expansion by cofactors.Expand using the row 1.​ <strong>Find the determinant of the matrix by the method of expansion by cofactors.Expand using the row 1.​   ​</strong> A)-73 B)75 C)-75 D)-74 E)-76 <div style=padding-top: 35px>

A)-73
B)75
C)-75
D)-74
E)-76
Question
Find all minors of the matrix.​ <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)-6 B)-7 C)-4 D)-5 E)-8 <div style=padding-top: 35px>

A)-6
B)-7
C)-4
D)-5
E)-8
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)111 B)110 C)   D)   E)   <div style=padding-top: 35px>

A)111
B)110
C) <strong>Find the determinant of the matrix.​   ​</strong> A)111 B)110 C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the determinant of the matrix.​   ​</strong> A)111 B)110 C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the determinant of the matrix.​   ​</strong> A)111 B)110 C)   D)   E)   <div style=padding-top: 35px>
Question
Find all the cofactors of the matrix.​ <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>
B) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>
C) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>
D)0
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>
Question
Find all minors of the matrix.​ <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find all the cofactors of the matrix.​ <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find all the cofactors of the matrix.​ <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)32 B)   C)   D)0 E)   <div style=padding-top: 35px>

A)32
B) <strong>Find the determinant of the matrix.​   ​</strong> A)32 B)   C)   D)0 E)   <div style=padding-top: 35px>
C) <strong>Find the determinant of the matrix.​   ​</strong> A)32 B)   C)   D)0 E)   <div style=padding-top: 35px>
D)0
E) <strong>Find the determinant of the matrix.​   ​</strong> A)32 B)   C)   D)0 E)   <div style=padding-top: 35px>
Question
Find all minors of the matrix.​ <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find all the cofactors of the matrix.​ <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)15 B)13 C)   D)   E)   <div style=padding-top: 35px>

A)15
B)13
C) <strong>Find the determinant of the matrix.​   ​</strong> A)15 B)13 C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the determinant of the matrix.​   ​</strong> A)15 B)13 C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the determinant of the matrix.​   ​</strong> A)15 B)13 C)   D)   E)   <div style=padding-top: 35px>
Question
Find all minors of the matrix.​ <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)0 D)16 E)   <div style=padding-top: 35px>

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)0 D)16 E)   <div style=padding-top: 35px>
B) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)0 D)16 E)   <div style=padding-top: 35px>
C)0
D)16
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)0 D)16 E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)0 C)   D)10 E)   <div style=padding-top: 35px>

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)0 C)   D)10 E)   <div style=padding-top: 35px>
B)0
C) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)0 C)   D)10 E)   <div style=padding-top: 35px>
D)10
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)0 C)   D)10 E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)50 C)51 D)   E)   <div style=padding-top: 35px>

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)50 C)51 D)   E)   <div style=padding-top: 35px>
B)50
C)51
D) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)50 C)51 D)   E)   <div style=padding-top: 35px>
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)50 C)51 D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>

A)0
B) <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve for x.​ <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-1,024 B)0 C)   D)-2,560 E)   <div style=padding-top: 35px> .

A)-1,024
B)0
C) <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-1,024 B)0 C)   D)-2,560 E)   <div style=padding-top: 35px>
D)-2,560
E) <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-1,024 B)0 C)   D)-2,560 E)   <div style=padding-top: 35px>
Question
Find <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .​ <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-0.008 B)-0.080 C)-0.040 D)0.024 E)-0.016 <div style=padding-top: 35px> .

A)-0.008
B)-0.080
C)-0.040
D)0.024
E)-0.016
Question
Given <strong>Given   and   ,find   .</strong> A)-16,000 B)-13,440 C)19,200 D)24,000 E)25,536 <div style=padding-top: 35px> and <strong>Given   and   ,find   .</strong> A)-16,000 B)-13,440 C)19,200 D)24,000 E)25,536 <div style=padding-top: 35px> ,find <strong>Given   and   ,find   .</strong> A)-16,000 B)-13,440 C)19,200 D)24,000 E)25,536 <div style=padding-top: 35px> .

A)-16,000
B)-13,440
C)19,200
D)24,000
E)25,536
Question
Evaluate the determinant in which the entries are functions.​ <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the determinant.​ <strong>Evaluate the determinant.​   ​</strong> A)46 B)48 C)50 D)47 E)49 <div style=padding-top: 35px>

A)46
B)48
C)50
D)47
E)49
Question
Find the determinant of the matrix <strong>Find the determinant of the matrix   .</strong> A)22 B)10 C)16 D)8 E)-2 <div style=padding-top: 35px> .

A)22
B)10
C)16
D)8
E)-2
Question
Find <strong>Find   .​   ​</strong> A)-19 B)-21 C)-22 D)-20 E)-18 <div style=padding-top: 35px> .​ <strong>Find   .​   ​</strong> A)-19 B)-21 C)-22 D)-20 E)-18 <div style=padding-top: 35px>

A)-19
B)-21
C)-22
D)-20
E)-18
Question
Use the matrix capabilities of a graphing utility to evaluate the determinant.​ <strong>Use the matrix capabilities of a graphing utility to evaluate the determinant.​   ​</strong> A)-72 B)-71 C)-70 D)-74 E)-73 <div style=padding-top: 35px>

A)-72
B)-71
C)-70
D)-74
E)-73
Question
Find the determinant of the matrix by the method of expansion by cofactors.Expand using the column 2.​ <strong>Find the determinant of the matrix by the method of expansion by cofactors.Expand using the column 2.​   ​</strong> A)-75 B)75 C)-73 D)-74 E)-76 <div style=padding-top: 35px>

A)-75
B)75
C)-73
D)-74
E)-76
Question
Find <strong>Find   .​   ​</strong> A)-25 B)-26 C)-24 D)-23 E)-22 <div style=padding-top: 35px> .​ <strong>Find   .​   ​</strong> A)-25 B)-26 C)-24 D)-23 E)-22 <div style=padding-top: 35px>

A)-25
B)-26
C)-24
D)-23
E)-22
Question
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-12 B)-10 C)7 D)-6 E)4 <div style=padding-top: 35px> .

A)-12
B)-10
C)7
D)-6
E)4
Question
Find the determinant of the matrix.Expand by cofactors on the row or column that appears to make the computations easiest.​ <strong>Find the determinant of the matrix.Expand by cofactors on the row or column that appears to make the computations easiest.​   ​</strong> A)-64 B)-62 C)-66 D)-65 E)-63 <div style=padding-top: 35px>

A)-64
B)-62
C)-66
D)-65
E)-63
Question
Find the determinant of <strong>Find the determinant of   .</strong> A)8 B)-10 C)-15 D)-12 E)2 <div style=padding-top: 35px> .

A)8
B)-10
C)-15
D)-12
E)2
Question
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-6 B)4 C)-2 D)-1 E)-12 <div style=padding-top: 35px> .

A)-6
B)4
C)-2
D)-1
E)-12
Question
Find the determinant of <strong>Find the determinant of   .</strong> A)32 B)0 C)24 D)-56 E)-64 <div style=padding-top: 35px> .

A)32
B)0
C)24
D)-56
E)-64
Question
​Find the determinant of the matrix <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​

A)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Evaluate the determinant in which the entries are functions.​ <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find   .​   ​</strong> A)80 B)78 C)79 D)82 E)81 <div style=padding-top: 35px> .​ <strong>Find   .​   ​</strong> A)80 B)78 C)79 D)82 E)81 <div style=padding-top: 35px>

A)80
B)78
C)79
D)82
E)81
Question
Evaluate the determinant.​ Evaluate the determinant.​  <div style=padding-top: 35px>
Question
Find all (a)minors and (b)cofactors of the matrix Find all (a)minors and (b)cofactors of the matrix   .Show your work.<div style=padding-top: 35px> .Show your work.
Question
Find all cofactors of the matrix <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve for x given the following equation involving a determinant. <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of <strong>Find the determinant of   by the method of expansion by cofactors using row 2. ​</strong> A)14 B)-14 C)24 D)34 E)4 <div style=padding-top: 35px> by the method of expansion by cofactors using row 2. ​

A)14
B)-14
C)24
D)34
E)4
Question
Evaluate the determinant of the matrix below to determine which of the following makes the equation true. <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find all minors of the matrix <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the determinant <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in which the entries are functions.

A) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the determinant <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in which the entries are functions.

A) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Given <strong>Given   ,find   .</strong> A)-168 B)-80 C)-88 D)40 E)120 <div style=padding-top: 35px> ,find <strong>Given   ,find   .</strong> A)-168 B)-80 C)-88 D)40 E)120 <div style=padding-top: 35px> .

A)-168
B)-80
C)-88
D)40
E)120
Question
Solve for x given the following equation involving a determinant. <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the determinant of <strong>Find the determinant of   by the method of expansion by cofactors using column 3. ​</strong> A)-14 B)24 C)-4 D)-24 E)-34 <div style=padding-top: 35px> by the method of expansion by cofactors using column 3. ​

A)-14
B)24
C)-4
D)-24
E)-34
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Deck 50: The Determinant of a Square Matrix
1
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
2
Find the determinant of the matrix by the method of expansion by cofactors.Expand using the row 1.​ <strong>Find the determinant of the matrix by the method of expansion by cofactors.Expand using the row 1.​   ​</strong> A)-73 B)75 C)-75 D)-74 E)-76

A)-73
B)75
C)-75
D)-74
E)-76
-75
3
Find all minors of the matrix.​ <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
4
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)-6 B)-7 C)-4 D)-5 E)-8

A)-6
B)-7
C)-4
D)-5
E)-8
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5
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)111 B)110 C)   D)   E)

A)111
B)110
C) <strong>Find the determinant of the matrix.​   ​</strong> A)111 B)110 C)   D)   E)
D) <strong>Find the determinant of the matrix.​   ​</strong> A)111 B)110 C)   D)   E)
E) <strong>Find the determinant of the matrix.​   ​</strong> A)111 B)110 C)   D)   E)
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6
Find all the cofactors of the matrix.​ <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
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7
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)   E)
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8
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)
B) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)
C) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)
D)0
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)   D)0 E)
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9
Find all minors of the matrix.​ <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
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10
Find all the cofactors of the matrix.​ <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
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11
Find all the cofactors of the matrix.​ <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
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12
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)32 B)   C)   D)0 E)

A)32
B) <strong>Find the determinant of the matrix.​   ​</strong> A)32 B)   C)   D)0 E)
C) <strong>Find the determinant of the matrix.​   ​</strong> A)32 B)   C)   D)0 E)
D)0
E) <strong>Find the determinant of the matrix.​   ​</strong> A)32 B)   C)   D)0 E)
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13
Find all minors of the matrix.​ <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
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14
Find all the cofactors of the matrix.​ <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all the cofactors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
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15
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)15 B)13 C)   D)   E)

A)15
B)13
C) <strong>Find the determinant of the matrix.​   ​</strong> A)15 B)13 C)   D)   E)
D) <strong>Find the determinant of the matrix.​   ​</strong> A)15 B)13 C)   D)   E)
E) <strong>Find the determinant of the matrix.​   ​</strong> A)15 B)13 C)   D)   E)
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16
Find all minors of the matrix.​ <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all minors of the matrix.​   ​</strong> A)   B)   C)   D)   E)
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17
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)0 D)16 E)

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)0 D)16 E)
B) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)0 D)16 E)
C)0
D)16
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)   C)0 D)16 E)
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18
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)0 C)   D)10 E)

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)0 C)   D)10 E)
B)0
C) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)0 C)   D)10 E)
D)10
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)0 C)   D)10 E)
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19
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)   B)50 C)51 D)   E)

A) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)50 C)51 D)   E)
B)50
C)51
D) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)50 C)51 D)   E)
E) <strong>Find the determinant of the matrix.​   ​</strong> A)   B)50 C)51 D)   E)
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20
Find the determinant of the matrix.​ <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)

A)0
B) <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)
C) <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)
D) <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)
E) <strong>Find the determinant of the matrix.​   ​</strong> A)0 B)   C)   D)   E)
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21
Solve for x.​ <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Solve for x.​   ​</strong> A)   B)   C)   D)   E)
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22
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-1,024 B)0 C)   D)-2,560 E)   .

A)-1,024
B)0
C) <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-1,024 B)0 C)   D)-2,560 E)
D)-2,560
E) <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-1,024 B)0 C)   D)-2,560 E)
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23
Find <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)   .​ <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find   .​   ​</strong> A)   B)   C)   D)   E)
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24
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-0.008 B)-0.080 C)-0.040 D)0.024 E)-0.016 .

A)-0.008
B)-0.080
C)-0.040
D)0.024
E)-0.016
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25
Given <strong>Given   and   ,find   .</strong> A)-16,000 B)-13,440 C)19,200 D)24,000 E)25,536 and <strong>Given   and   ,find   .</strong> A)-16,000 B)-13,440 C)19,200 D)24,000 E)25,536 ,find <strong>Given   and   ,find   .</strong> A)-16,000 B)-13,440 C)19,200 D)24,000 E)25,536 .

A)-16,000
B)-13,440
C)19,200
D)24,000
E)25,536
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26
Evaluate the determinant in which the entries are functions.​ <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
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27
Evaluate the determinant.​ <strong>Evaluate the determinant.​   ​</strong> A)46 B)48 C)50 D)47 E)49

A)46
B)48
C)50
D)47
E)49
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28
Find the determinant of the matrix <strong>Find the determinant of the matrix   .</strong> A)22 B)10 C)16 D)8 E)-2 .

A)22
B)10
C)16
D)8
E)-2
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29
Find <strong>Find   .​   ​</strong> A)-19 B)-21 C)-22 D)-20 E)-18 .​ <strong>Find   .​   ​</strong> A)-19 B)-21 C)-22 D)-20 E)-18

A)-19
B)-21
C)-22
D)-20
E)-18
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30
Use the matrix capabilities of a graphing utility to evaluate the determinant.​ <strong>Use the matrix capabilities of a graphing utility to evaluate the determinant.​   ​</strong> A)-72 B)-71 C)-70 D)-74 E)-73

A)-72
B)-71
C)-70
D)-74
E)-73
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31
Find the determinant of the matrix by the method of expansion by cofactors.Expand using the column 2.​ <strong>Find the determinant of the matrix by the method of expansion by cofactors.Expand using the column 2.​   ​</strong> A)-75 B)75 C)-73 D)-74 E)-76

A)-75
B)75
C)-73
D)-74
E)-76
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32
Find <strong>Find   .​   ​</strong> A)-25 B)-26 C)-24 D)-23 E)-22 .​ <strong>Find   .​   ​</strong> A)-25 B)-26 C)-24 D)-23 E)-22

A)-25
B)-26
C)-24
D)-23
E)-22
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33
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-12 B)-10 C)7 D)-6 E)4 .

A)-12
B)-10
C)7
D)-6
E)4
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34
Find the determinant of the matrix.Expand by cofactors on the row or column that appears to make the computations easiest.​ <strong>Find the determinant of the matrix.Expand by cofactors on the row or column that appears to make the computations easiest.​   ​</strong> A)-64 B)-62 C)-66 D)-65 E)-63

A)-64
B)-62
C)-66
D)-65
E)-63
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35
Find the determinant of <strong>Find the determinant of   .</strong> A)8 B)-10 C)-15 D)-12 E)2 .

A)8
B)-10
C)-15
D)-12
E)2
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36
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-6 B)4 C)-2 D)-1 E)-12 .

A)-6
B)4
C)-2
D)-1
E)-12
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37
Find the determinant of <strong>Find the determinant of   .</strong> A)32 B)0 C)24 D)-56 E)-64 .

A)32
B)0
C)24
D)-56
E)-64
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38
​Find the determinant of the matrix <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​   . ​

A)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>​Find the determinant of the matrix   . ​</strong> A)​   B)​   C)​   D)​   E)​
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39
Evaluate the determinant in which the entries are functions.​ <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the determinant in which the entries are functions.​   ​</strong> A)   B)   C)   D)   E)
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40
Find <strong>Find   .​   ​</strong> A)80 B)78 C)79 D)82 E)81 .​ <strong>Find   .​   ​</strong> A)80 B)78 C)79 D)82 E)81

A)80
B)78
C)79
D)82
E)81
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41
Evaluate the determinant.​ Evaluate the determinant.​
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42
Find all (a)minors and (b)cofactors of the matrix Find all (a)minors and (b)cofactors of the matrix   .Show your work. .Show your work.
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43
Find all cofactors of the matrix <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all cofactors of the matrix   . ​</strong> A)   B)   C)   D)   E)
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44
Solve for x given the following equation involving a determinant. <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
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45
Find the determinant of <strong>Find the determinant of   by the method of expansion by cofactors using row 2. ​</strong> A)14 B)-14 C)24 D)34 E)4 by the method of expansion by cofactors using row 2. ​

A)14
B)-14
C)24
D)34
E)4
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46
Evaluate the determinant of the matrix below to determine which of the following makes the equation true. <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the determinant of the matrix below to determine which of the following makes the equation true.  </strong> A)   B)   C)   D)   E)
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47
Find all minors of the matrix <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all minors of the matrix   . ​</strong> A)   B)   C)   D)   E)
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48
Evaluate the determinant <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   in which the entries are functions.

A) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
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49
Evaluate the determinant <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)   in which the entries are functions.

A) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the determinant   in which the entries are functions.</strong> A)   B)   C)   D)   E)
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50
Given <strong>Given   ,find   .</strong> A)-168 B)-80 C)-88 D)40 E)120 ,find <strong>Given   ,find   .</strong> A)-168 B)-80 C)-88 D)40 E)120 .

A)-168
B)-80
C)-88
D)40
E)120
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51
Solve for x given the following equation involving a determinant. <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve for x given the following equation involving a determinant.  </strong> A)   B)   C)   D)   E)
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52
Find the determinant of <strong>Find the determinant of   by the method of expansion by cofactors using column 3. ​</strong> A)-14 B)24 C)-4 D)-24 E)-34 by the method of expansion by cofactors using column 3. ​

A)-14
B)24
C)-4
D)-24
E)-34
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Unlock Deck
Unlock for access to all 52 flashcards in this deck.