Test Bank Docx Ch.7 Matrices 5th Edition

College Algebra, 5e (Young)

Chapter 7 Matrices

7.3 Matrix Equations; The Inverse of a Square Matrix

1) Write the system of linear equations as a matrix equation.

29x + 16y = 8

6x - 17y = 29

A) =

B) =

C) =

D) =

Diff: 1 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Write a system of linear equations as a matrix equation.

2) Write the system of linear equations as a matrix equation.

-14x - -15y = -19

11x + 9y = 1

A) =

B) =

C) =

D) =

Diff: 1 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Write a system of linear equations as a matrix equation.

3) Write the system of linear equations as a matrix equation.

A) =

B) =

C) =

D) =

Diff: 1 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Write a system of linear equations as a matrix equation.

4) Write the system of equations as a matrix equation.

-20x + 6y = -15

26x - 8y = -4

Diff: 1 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Write a system of linear equations as a matrix equation.

5) Determine if B is the multiplicative inverse of A using = I.

A = and B =

A) Yes

B) No

Diff: 2 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

6) Determine if B is the multiplicative inverse of A using = I.

A = and B =

A) Yes

B) No

Diff: 2 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

7) Find given that A = .

A)

B)

C)

D)

Diff: 2 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

8) Find given that A = .

A)

B)

C)

D)

Diff: 2 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

9) Find given that A = .

A)

B)

C)

D)

Diff: 2 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

10) Apply the matrix algebra to solve the system of linear equations.

A) (2, -3, 5)

B) (-3, 2, 5)

C) (5, 2, -3)

D) (5, -3, 2)

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Solve systems of linear equations using inverse matrices.

11) Apply the matrix algebra to solve the system of linear equations.

A) (4, 6, 3)

B) (3, 4, 6)

C) (3, 6, 4)

D) (6, 3, 4)

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Solve systems of linear equations using inverse matrices.

12) Apply the matrix algebra to solve the system of linear equations.

A) (-4, -3, 1)

B) (1, -3, -4)

C) infinitely many solutions

D) no solution

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Solve systems of linear equations using inverse matrices.

13) Apply the matrix algebra to solve the system of linear equations.

A) (-2, 2, 3)

B) (2, -2, 3)

C) (3, -2, 2)

D) (3, 2, -2)

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Solve systems of linear equations using inverse matrices.

14) Find given that A = .

Diff: 2 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

15) A college apparel sales associated with the final basketball tournament and the championship game in the football are represented with the following matrix:

sweatshirts T-shirts

The revenue generated by the sales of theses T-shirts and sweat-shirts is given the following matrix:

a. Find B.

b. What does B represent?

.

b. B represents the price of the sweat-shirts, $80, and the price of the T-shirts, $26.

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.; Solve systems of linear equations using inverse matrices.

16) Apply the matrix algebra to solve the system of linear equations.

3x + 7y = -32

4x - 6y = 34

A) (-1, 5)

B) (1, -5)

C) (1, 5)

D) (-1, -5)

Diff: 2 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Solve systems of linear equations using inverse matrices.

17) Apply the matrix algebra to solve the system of linear equations.

2x - 4y = 14

-3x + 8y = -27

Diff: 2 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Solve systems of linear equations using inverse matrices.

18) Apply the matrix algebra to solve the system of linear equations.

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Solve systems of linear equations using inverse matrices.

19) Find given that A = .

=

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

20) Determine if B is the multiplicative inverse of A using = I.

A = and B =

A) Yes

B) No

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

21) Determine if B is the multiplicative inverse of A using = I.

A = and B =

A) Yes

B) No

Diff: 3 Var: 1

Chapter/Section: Ch 07, Sec 03

Learning Objective: Find the inverse of a square matrix.

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