Deck 7: Matrices

Question 1

Evaluate the 2 × 2 determinant.

A) 23
B) -23
C) -26
D) 26

Answer 1

23

Question 2

Evaluate the 2 × 2 determinant.

A) 27
B) -27
C) -37
D) 37

Answer 2

-37

Question 3

Evaluate the 2 × 2 determinant.

A) 6
B) -2
C) -6
D) 2

Answer 3

2

Question 4

Evaluate the 2 × 2 determinant.

A) -15.88
B) 11.32
C) 15.88
D) -1.3

Question 5

Evaluate the 2 × 2 determinant.

A) -13.92
B) -9.6
C) 14.4
D) 13.92

Question 6

Evaluate the 2 × 2 determinant.

A) -51.16
B) 51.16
C) 4.9
D) -5.24

Question 7

Evaluate the 2 × 2 determinant.

A) -
B)
C) -
D)

Question 8

Evaluate the 2 × 2 determinant.

A)
B)
C) -
D) -

Question 9

Evaluate the 2 × 2 determinant.

A) 36
B) 0
C) -36
D) 10

Question 10

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions).

A) (-3, 5)
B) (5, -3)
C) inconsistent
D) dependent

Question 11

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions).

A) (2, 4)
B) (4, 2)
C) inconsistent
D) dependent

Question 12

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions).

A) (8, 6)
B) (6, 8)
C) inconsistent
D) dependent

Question 13

Evaluate the 3 × 3 determinant.

A) 164
B) 248
C) -268
D) -296

Question 14

Evaluate the 3 × 3 determinant.

A) -492
B) 768
C) 408
D) 492

Question 15

Evaluate the 3 × 3 determinant.

A) -334
B) 170
C) 158
D) 14

Question 16

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).

A) (-3, 4, -5)
B) (-5, 4, -3)
C) inconsistent
D) dependent

Question 17

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).

A) (2, 5, 5)
B) (3, -4, -4)
C) inconsistent
D) dependent

Question 18

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).

A) (1, 3, -1)
B) (-1, 3, 1)
C) inconsistent
D) dependent

Question 19

Evaluate the 2 × 2 determinant.

Question 20

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).10x + 7y = -8-10x - 7y = 8

Question 21

Evaluate the 3 × 3 determinant.

Question 22

Apply determinants to find the area of a triangle with vertices (10, 5), (-1, 12), and

A) 28 square units
B) 56 square units
C) 193 square units
D) 68 square units

Question 23

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

Question 24

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

Question 25

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

A) (2, 8)
B) (-34, 6)
C) inconsistent
D) dependent

Question 26

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

A) (6, -4)
B) (1, 8)
C) dependent
D) inconsistent

Question 27

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

Question 28

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

Question 29

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

A) (-3, 3, -1)
B) (-3, -3, -1)
C) (-1, 3, -3)
D) (-1, -3, -3)

Question 30

Solve the system of linear equations for x, y, and z.

Question 31

Three points are collinear if the area of the triangle with vertices at those three points is zero. Are the points (10, -2), (5, -7), and (2, -13) colinear?

Question 32

Three points are collinear if the area of the triangle with vertices at those three points is zero. Are the points (-18, 17), (-9, 9), and (27, -23) colinear?

Question 33

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions).

A) (7, 1)
B) (1, 7)
C) inconsistent
D) dependent

Question 34

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).

A) (5, -1, -2)
B) (5, 2, 5)
C) inconsistent
D) dependent

Question 35

Write the system of linear equations as a matrix equation.

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

Question 36

Write the system of linear equations as a matrix equation.

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

Question 37

Write the system of linear equations as a matrix equation.

A)=
B)=
C) =
D)\=

Question 38

Write the system of equations as a matrix equation.

Question 39

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

Question 40

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

Question 41

Find given that A = .

A)
B)
C)
D)

Question 42

Find given that A = .

A)
B)
C)
D)

Question 43

Find given that A = .

A)
B)
C)
D)

Question 44

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)

Question 45

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)

Question 46

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

Question 47

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)

Question 48

Find given that A = .

Question 49

A college apparel sales associated with the final basketball tournament and the championship game in the football are represented with the following matrix:
The revenue generated by the sales of theses T-shirts and sweat-shirts is given the following matrix:

-Find

Question 50

A college apparel sales associated with the final basketball tournament and the championship game in the football are represented with the following matrix:
The revenue generated by the sales of theses T-shirts and sweat-shirts is given the following matrix:

-What does B represent?

Question 51

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

A) (-1, 5)
B) (1, -5)
C) (1, 5)
D) (-1, -5)

Question 52

Apply the matrix algebra to solve the system of linear equations.
2x - 4y = 14
-3x + 8y = -27

Question 53

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

Question 54

Find given that A = .

Question 55

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

Question 56

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

Question 57

Calculate A + B if A = and B = .

A)
B)
C)
D)

Question 58

Calculate AB if A = and B = .

A)
B)
C)
D)

Question 59

Calculate 3B - 2A if A = and B = .

A)
B)
C)
D)

Question 60

Calculate D (A + B) if

A)

B)

C)

D)

Question 61

Calculate AB if A = and B = .

Question 62

Solve for the indicated variables.

A) x = 5, y = -10, z = -7
B) x = -10, y = 5, z = -7
C) x = -10, y = -5, z = -4
D) x = 10, y = 5, z = -7

Question 63

Calculate -4A - 5B if A = and B = .

A)
B)
C)
D)

Question 64

A company has two rubrics for scoring job applicants based on weighing education, experience, and the interview differently.

Applications receive a score from 1 to 10 in each category (education, experience, and interview). Two applicants are shown in matrix B:

What is the order of BA? What does each entry in BA tell us?

Question 65

Perform the indicated operations for the expression, if possible.A = B = C = AB - 9C

A)
B)
C)
D) not possible

Question 66

Perform the indicated operations for the expression, if possible.
A = B =

A)
B)
C)
D) not possible

Question 67

Write the order of the matrix.

A) 3 × 2
B) 2 × 2
C) 2 × 3
D) 3 × 3

Question 68

Write the order of the matrix.

A) 3 × 3
B) 2 × 2
C) 2 × 3
D) 3 × 2

Question 69

Write the order of the matrix.

A) 4 × 1
B) 4 × 4
C) 1 × 4
D) 1 × 1

Question 70

Solve for the indicated variables.

A) (-6, 3)
B) (3, 6)
C) (6, 3)
D) (-6, -3)

Question 71

Solve for the indicated variables.

A) (-4, 5)
B) (-1, 6)
C) (2, 8)
D) (4, 5)

Question 72

Solve for the indicated variables.

A) (-5, -4)
B) (-4, 5)
C) (5, -4)
D) (-5, 4)

Question 73

Calculate AB if A = and B = .

Question 74

Calculate if A = .

A)
B)
C)
D)

Question 75

Write the system of linear equations as an augmented matrix.

A)
B)
C)
D)

Question 76

Write the system of linear equations as an augmented matrix.

A)
B)
C)
D)

Question 77

Write the system of linear equations as an augmented matrix.

A)
B)
C)
D)

Question 78

Write the system of linear equations as an augmented matrix.

A)
B)
C)
D)

Question 79

Write the system of linear equations represented by the augmented matrix. Utilize the variables x and y.

A) 14x - 7y = 30
28x + 2y = 16
B) 14x + 7y = 30
28x - 2y = 16
C) 28x + 7y = 30
14x - 2y = 16
D) 14x + 2y = 16
28x - 16y = 30

Question 80

Write the system of linear equations as represented by the augmented matrix. Utilize the variables x and y.

A) -6x - 2y = -12
5x + 7y = -20
B) 5x - 2y = -20
-6x + 7y = -12
C) 5x + 7y = -12
-6x + 2y = -20
D) 5x - 2y = -12
-6x + 7y = -20