Question 1

What value for X will result in the value for the determinant   to equal -48?

Accepted Answer

A) 0 
B) 1 
C) 2 
D) 3 
A) 0 
B) 1 
C) 2 
D) 3

Question 2

An n × n matrix, when multiplied by an n × n matrix, yields

Accepted Answer

A) an n × n matrix. 
B) a 2n matrix. 
C) an n2 + n2 matrix. 
D) an (n × n)2 matrix. 
A) an n × n matrix. 
B) a 2n matrix. 
C) an n2 + n2 matrix. 
D) an (n × n)2 matrix.

Question 3

= 7

Accepted Answer

A) True 
 B)False

Question 4

Element 2,1 of the inverse of the matrix   is

Accepted Answer

A) -5. 
B) -4. 
C) 3. 
D) 7. 
A) -5. 
B) -4. 
C) 3. 
D) 7.

Question 5

An n × m matrix, when multiplied by an m × n matrix, yields

Accepted Answer

A) an n × m matrix. 
B) an m × n matrix. 
C) an n × n matrix. 
D) an n × m × n matrix. 
A) an n × m matrix. 
B) an m × n matrix. 
C) an n × n matrix. 
D) an n × m × n matrix.

Question 6

Add the matrices   +   .

Accepted Answer

A)    
B)    
C)    
D) Matrices of these dimensions cannot be added. 
A)    
B)    
C)    
D) Matrices of these dimensions cannot be added.

Question 7

×   ×   =

Accepted Answer

A) True 
 B)False

Question 8

= 70

Accepted Answer

A) True 
 B)False

Question 9

The correct determinant value for the determinant   would be

Accepted Answer

A) (8)(4)(3)(6). 
B) (8)(4)+ (3)(6). 
C) (8)(4)- (3)(6). 
D) (8)(3)- (6)(4). 
A) (8)(4)(3)(6). 
B) (8)(4)+ (3)(6). 
C) (8)(4)- (3)(6). 
D) (8)(3)- (6)(4).

Question 10

A-1A = A A-1 = I

Accepted Answer

A) True 
 B)False

Question 11

An identity matrix has 1's in all positions of the matrix.

Accepted Answer

A) True 
 B)False

Question 12

Why does the matrix   have no definable inverse?

Accepted Answer

The answer of Why does the matrix   have...

Question 13

An n × m matrix, when added to an m × n matrix (n ≠ m), yields an n × n matrix.

Accepted Answer

A) True 
 B)False

Question 14

The matrix multiplication (AB), where A and B are any matrix, is equal to the matrix multiplication (BA).

Accepted Answer

A) True 
 B)False

Question 15

×   ×   = ?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Multiply the matrices   ×   =

Accepted Answer

The answer of Multiply the matrices   × ...

Question 17

Find the inverse of   .

Accepted Answer

no inverse

Question 18

An n × m matrix multiplied by a p × m matrix yields an n × p matrix.

Accepted Answer

A) True 
 B)False

Question 19

The value of the determinant   is

Accepted Answer

A) -8. 
B) +8. 
C) -40. 
D) +40. 
A) -8. 
B) +8. 
C) -40. 
D) +40.

Question 20

The value of the determinant   is

Accepted Answer

A) 8. 
B) 7. 
C) 4. 
D) -4. 
A) 8. 
B) 7. 
C) 4. 
D) -4.

Exam 20: Mathematical Tools: Determinants and Matrices

What value for X will result in the value for the determinant to equal -48?

An n × n matrix, when multiplied by an n × n matrix, yields

= 7

Element 2,1 of the inverse of the matrix is

An n × m matrix, when multiplied by an m × n matrix, yields

Add the matrices + .

× × =

= 70

The correct determinant value for the determinant would be

A-1A = A A-1 = I

An identity matrix has 1's in all positions of the matrix.

Why does the matrix have no definable inverse?

An n × m matrix, when added to an m × n matrix (n ≠ m), yields an n × n matrix.

The matrix multiplication (AB), where A and B are any matrix, is equal to the matrix multiplication (BA).

× × = ?

Multiply the matrices × =

Find the inverse of .

An n × m matrix multiplied by a p × m matrix yields an n × p matrix.

The value of the determinant is

The value of the determinant is

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A^-1A = A A^-1 = I