Question 1

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

Accepted Answer

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

Question 2

Find the indicated power of the matrix A.
-

Accepted Answer

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

Question 3

Find the inverse of the matrix, if possible.
-

Accepted Answer

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

Question 4

Perform the indicated operation, if possible.
-

Accepted Answer

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

Question 5

Find the values that make the equation true.
-

Accepted Answer

A)  m = 5, x = 7, n = 4, y = -5, p = 1 
B)  m = 4, x = 2, n = 5, y = -5, p = 1 
C)  m = 5, x = 7, n = 2, y = -5, p = 1 
D)  m = 5, x = 2, n = 4, y = -5, p = 1 
A)  m = 5, x = 7, n = 4, y = -5, p = 1 
B)  m = 4, x = 2, n = 5, y = -5, p = 1 
C)  m = 5, x = 7, n = 2, y = -5, p = 1 
D)  m = 5, x = 2, n = 4, y = -5, p = 1

Question 6

Solve the problem using two linear equations in two variables and Cramer's rule.
-Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 750 gal of gasohol containing 10% alcohol? (Round to the nearest whole gallon.)

Accepted Answer

A)  536 gal 5%, 536 gal 12% 
B)  214 gal 5%, 536 gal 12% 
C)  313 gal 5%, 438 gal 12% 
D)  38 gal 5%, 90 gal 12% 
A)  536 gal 5%, 536 gal 12% 
B)  214 gal 5%, 536 gal 12% 
C)  313 gal 5%, 438 gal 12% 
D)  38 gal 5%, 90 gal 12%

Question 7

Write the matrix equation as a system of equations and solve the system.
-

Accepted Answer

A)  {(-3, -2)} 
B)  {(2, 3)} 
C)  {(3, 2)} 
D)  {(-2, -3)} 
A)  {(-3, -2)} 
B)  {(2, 3)} 
C)  {(3, 2)} 
D)  {(-2, -3)}

Question 8

Solve the system of equations corresponding to the given matrix equation.
-

Accepted Answer

A)  {(-2, 7, 3)} 
B)  {(-7, 2, -3)} 
C)  {(7, -2, 3)} 
D)  {(0, 2, -3)} 
A)  {(-2, 7, 3)} 
B)  {(-7, 2, -3)} 
C)  {(7, -2, 3)} 
D)  {(0, 2, -3)}

Question 9

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 10

Perform the indicated operation, if possible.
-

Accepted Answer

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

Question 11

Write the augmented matrix for the system.
-

Accepted Answer

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

Question 12

Given matrices A and B, find the indicated matrix if possible.
-  Find AB.

Accepted Answer

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

Question 13

Find the sum, if possible.
-

Accepted Answer

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

Question 14

Use a graphing calculator to solve the system by finding   . (Round to the nearest integer if necessary.)
-5x - 2y - 8z = -7 7x + 2y + 3z = 14
3x - 2y + 2z = 1

Accepted Answer

A)  {(1, -2, -1)} 
B)  {(1, 2, 1)} 
C)  {(2, 0, 1)} 
D)  {(2, 1, 2)} 
A)  {(1, -2, -1)} 
B)  {(1, 2, 1)} 
C)  {(2, 0, 1)} 
D)  {(2, 1, 2)}

Question 15

Solve the system using Gaussian elimination.
-6x + y = 25 6x + 3y = 15

Accepted Answer

A)  {(-5, 5)} 
B)  {(-5, -5)} 
C)    
D)  {(5, -5)} 
A)  {(-5, 5)} 
B)  {(-5, -5)} 
C)    
D)  {(5, -5)}

Question 16

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.
-

Accepted Answer

A)    The average cost per credit hour is $63. 
B)    Tuition for Student 1 is $1116, tuition for Student 2 is $960, and tuition for Student 3 is $726. 
C)    Tuition for Student 1 is $831, tuition for Student 2 is $1074, and tuition for Student 3 is $897. 
D)    Tuition for Student 1 is $1002, tuition for Student 2 is $789, and tuition for Student 3 is $1011. 
A)    The average cost per credit hour is $63. 
B)    Tuition for Student 1 is $1116, tuition for Student 2 is $960, and tuition for Student 3 is $726. 
C)    Tuition for Student 1 is $831, tuition for Student 2 is $1074, and tuition for Student 3 is $897. 
D)    Tuition for Student 1 is $1002, tuition for Student 2 is $789, and tuition for Student 3 is $1011.

Question 17

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 18

Provide an appropriate response.
-Suppose that you are solving a system of three linear equations and have evaluated   Under what condition does Cramer's rule not apply?

Accepted Answer

A)    
B)    
C)  D = 0 
D)    
A)    
B)    
C)  D = 0 
D)

Question 19

Write a system of equations associated with the augmented matrix. Do not try to solve.
-

Accepted Answer

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

Question 20

Solve the problem.
-Ellen wishes to mix candy worth $1.84 per pound with candy worth $8.17 per pound to form 11 pounds of a mixture worth $4.72 per pound. How many pounds of the more expensive candy should she use?

Accepted Answer

A)  10 pounds 
B)  8 pounds 
C)  6 pounds 
D)  5 pounds 
A)  10 pounds 
B)  8 pounds 
C)  6 pounds 
D)  5 pounds

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

Find the indicated power of the matrix A. -

Find the inverse of the matrix, if possible. -

Perform the indicated operation, if possible. -

Find the values that make the equation true. -

Write the matrix equation as a system of equations and solve the system. -

Solve the system of equations corresponding to the given matrix equation. -

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

Perform the indicated operation, if possible. -

Write the augmented matrix for the system. -

Given matrices A and B, find the indicated matrix if possible. - Find AB.

Find the sum, if possible. -

Use a graphing calculator to solve the system by finding . (Round to the nearest integer if necessary.) -5x - 2y - 8z = -7 7x + 2y + 3z = 14 3x - 2y + 2z = 1

Solve the system using Gaussian elimination. -6x + y = 25 6x + 3y = 15

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -

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

Provide an appropriate response. -Suppose that you are solving a system of three linear equations and have evaluated Under what condition does Cramer's rule not apply?

Write a system of equations associated with the augmented matrix. Do not try to solve. -

Solve the problem. -Ellen wishes to mix candy worth $1.84 per pound with candy worth $8.17 per pound to form 11 pounds of a mixture worth $4.72 per pound. How many pounds of the more expensive candy should she use?

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

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Exam 9: Matrices and Determinants

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

Find the indicated power of the matrix A. -

Find the inverse of the matrix, if possible. -

Perform the indicated operation, if possible. -

Find the values that make the equation true. -

Write the matrix equation as a system of equations and solve the system. -

Solve the system of equations corresponding to the given matrix equation. -

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

Perform the indicated operation, if possible. -

Write the augmented matrix for the system. -

Given matrices A and B, find the indicated matrix if possible. - Find AB.

Find the sum, if possible. -

Use a graphing calculator to solve the system by finding . (Round to the nearest integer if necessary.) -5x - 2y - 8z = -7 7x + 2y + 3z = 14 3x - 2y + 2z = 1

Solve the system using Gaussian elimination. -6x + y = 25 6x + 3y = 15

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -

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

Provide an appropriate response. -Suppose that you are solving a system of three linear equations and have evaluated Under what condition does Cramer's rule not apply?

Write a system of equations associated with the augmented matrix. Do not try to solve. -

Solve the problem. -Ellen wishes to mix candy worth $1.84 per pound with candy worth $8.17 per pound to form 11 pounds of a mixture worth $4.72 per pound. How many pounds of the more expensive candy should she use?

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