Question 1

Write the linear system as a matrix equation of the form AX = B.
-x - 5y = 6
6x - y = 4

Accepted Answer

The answer of Write the linear system as a matrix...

Question 2

Solve the system using Gaussian elimination.
-x + y + 6z = 3 2x + y + 10z = 12

Accepted Answer

A)  {(-4z + 9, -2z - 6, z) z is any real number} 
B)  {(9, -6, 0)} 
C)  {(4z + 9, 2z - 6, z) z is any real number} 
D)    
A)  {(-4z + 9, -2z - 6, z) z is any real number} 
B)  {(9, -6, 0)} 
C)  {(4z + 9, 2z - 6, z) z is any real number} 
D)

Question 3

Solve the system using Gaussian elimination.
--4x - 8y = 2 -20x - 40y = 9

Accepted Answer

A)    
B)  {(5, 5)} 
C)  {(2, 9)} 
D)  {(x, y) -4x - 8y = 2} 
A)    
B)  {(5, 5)} 
C)  {(2, 9)} 
D)  {(x, y) -4x - 8y = 2}

Question 4

Determine the row operation that was used on the first matrix to obtain the second matrix.
-

Accepted Answer

The answer of Determine the row operation that was used...

Question 5

Write the augmented matrix for the system.
-

Accepted Answer

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

Question 6

Find the determinant of the given matrix.
-

Accepted Answer

A)  -18 
B)  0 
C)  -14 
D)  14 
A)  -18 
B)  0 
C)  -14 
D)  14

Question 7

Use Cramer's rule to solve the system.
-

Accepted Answer

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

Question 8

Find the product.
-

Accepted Answer

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

Question 9

Solve the problem.
-Sara works at a fast food restaurant. On one day she sold 64 double hamburgers, 58 fish sandwiches, 23 orders of French fries, 30 small drinks, 30 medium drinks, and 28 large drinks. On the next day she sold 97 double
Hamburgers, 94 fish sandwiches, 29 orders of French fries, 68 small drinks, 20 medium drinks, and 78 large
Drinks. Write this information in a 6x2 matrix.

Accepted Answer

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

Question 10

Find the value of x that ma   kes the given equation true.
-

Accepted Answer

A)  0 
B)  4 
C)  16 
D)    
A)  0 
B)  4 
C)  16 
D)

Question 11

Perform the indicated operation, if possible.
-[-3 8 2] - [4 3]

Accepted Answer

A)  Not defined 
B)  [-7 8 -1] 
C)  [-7 5 -1] 
D)  [-7 5 2] 
A)  Not defined 
B)  [-7 8 -1] 
C)  [-7 5 -1] 
D)  [-7 5 2]

Question 12

Solve the system, using Cramer's rule, if possible.
-2x + 8y + 6z = 20 4x + 2y - 2z = -2
3x - y + z = 11

Accepted Answer

A)  {(-1, 2, 1)} 
B)  {(2, -1, 4)} 
C)  {(2, 1, 6)} 
D)    
A)  {(-1, 2, 1)} 
B)  {(2, -1, 4)} 
C)  {(2, 1, 6)} 
D)

Question 13

Perform the indicated operation, if possible.
-

Accepted Answer

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

Question 14

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.)
-1.8x + 2.4y - 3.1z = 4.3 4.1x - 7.0y + 1.7z = -4.7
3.0x + 2.6y - 4.4z = -1.8

Accepted Answer

A)  {(27.4, 24.9, 33.8)} 
B)  {(20.5, 18.7, 25.3)} 
C)  {(6.8, 6.2, 8.4)} 
D)  {(13.7, 12.5, 16.9)} 
A)  {(27.4, 24.9, 33.8)} 
B)  {(20.5, 18.7, 25.3)} 
C)  {(6.8, 6.2, 8.4)} 
D)  {(13.7, 12.5, 16.9)}

Question 15

Determine the size of the matrix.
-

Accepted Answer

A)  4 × 2 
B)  2 × 3 
C)  2 × 4 
D)  3 × 2 
A)  4 × 2 
B)  2 × 3 
C)  2 × 4 
D)  3 × 2

Question 16

Find the indicated matrix.
-

Accepted Answer

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

Question 17

Perform the indicated operation, if possible.
-

Accepted Answer

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

Question 18

Find the product.
-

Accepted Answer

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

Question 19

Determine whether the matrices in each pair are inverses of each other.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 20

Find the values that make the equation true.
-

Accepted Answer

A)  x = 9; y = 1; m = -9 
B)  x = -1; y = 9; m = 9 
C)  x = 1; y = 9; m = -9 
D)  x = -1; y = -9; m = 9 
A)  x = 9; y = 1; m = -9 
B)  x = -1; y = 9; m = 9 
C)  x = 1; y = 9; m = -9 
D)  x = -1; y = -9; m = 9

Write the linear system as a matrix equation of the form AX = B. -x - 5y = 6 6x - y = 4

Solve the system using Gaussian elimination. -x + y + 6z = 3 2x + y + 10z = 12

Solve the system using Gaussian elimination. --4x - 8y = 2 -20x - 40y = 9

Determine the row operation that was used on the first matrix to obtain the second matrix. -

Write the augmented matrix for the system. -

Find the determinant of the given matrix. -

Use Cramer's rule to solve the system. -

Find the product. -

Find the value of x that ma kes the given equation true. -

Perform the indicated operation, if possible. -[-3 8 2] - [4 3]

Solve the system, using Cramer's rule, if possible. -2x + 8y + 6z = 20 4x + 2y - 2z = -2 3x - y + z = 11

Perform the indicated operation, if possible. -

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.) -1.8x + 2.4y - 3.1z = 4.3 4.1x - 7.0y + 1.7z = -4.7 3.0x + 2.6y - 4.4z = -1.8

Determine the size of the matrix. -

Find the indicated matrix. -

Perform the indicated operation, if possible. -

Find the product. -

Determine whether the matrices in each pair are inverses of each other. -

Find the values that make the equation true. -

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Exam 9: Matrices and Determinants

Write the linear system as a matrix equation of the form AX = B. -x - 5y = 6 6x - y = 4

Solve the system using Gaussian elimination. -x + y + 6z = 3 2x + y + 10z = 12

Solve the system using Gaussian elimination. --4x - 8y = 2 -20x - 40y = 9

Determine the row operation that was used on the first matrix to obtain the second matrix. -

Write the augmented matrix for the system. -

Find the determinant of the given matrix. -

Use Cramer's rule to solve the system. -

Find the product. -

Find the value of x that ma kes the given equation true. -

Perform the indicated operation, if possible. -[-3 8 2] - [4 3]

Solve the system, using Cramer's rule, if possible. -2x + 8y + 6z = 20 4x + 2y - 2z = -2 3x - y + z = 11

Perform the indicated operation, if possible. -

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.) -1.8x + 2.4y - 3.1z = 4.3 4.1x - 7.0y + 1.7z = -4.7 3.0x + 2.6y - 4.4z = -1.8

Determine the size of the matrix. -

Find the indicated matrix. -

Perform the indicated operation, if possible. -

Find the product. -

Determine whether the matrices in each pair are inverses of each other. -

Find the values that make the equation true. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters