Deck 48: Operations With Matrices

Question 1

Find x and y.​ ​

A)
B)​
C)
D)
E)

Answer 1

Question 2

Evaluate the expression.​ ​

A)
B)
C)
D)
E)

Answer 2

Question 3

Find x and y.​ ​

A)
B)
C)
D)
E)

Answer 3

Question 4

Find 3A - 2B.​ ​

A)
B)
C)
D)
E)

Question 5

Evaluate the expression.​ ​

A)
B)
C)
D)
E)

Question 6

Find A + B.​ ​

A)
B)
C)
D)
E)

Question 7

Use the matrix capabilities of a graphing utility to evaluate the expression.Round your results to three decimal places,if necessary.​ ​

A)
B)
C)
D)
E)

Question 8

Find A - B.​ ​

A)
B)
C)
D)
E)

Question 9

Find x and y.​ ​

A)x = -2,y = 10
B)x = 2,y = -10
C)x = -2,y = -10
D)x = 10,y = 25
E)x = 2,y = 10

Question 10

Find 3A.​ ​

A)
B)
C)
D)
E)

Question 11

Find A + B.​ ​

A)
B)
C)
D)
E)

Question 12

Find 3A.​ ​

A)
B)
C)
D)
E)

Question 13

Find A - B.​ ​

A)
B)
C)
D)
E)

Question 14

Find A + B.​ ​

A)
B)
C)
D)
E)

Question 15

Find 3A - 2B.​ ​

A)
B)
C)
D)
E)​

Question 16

Find A - B.​ ​

A)
B)
C)
D)
E)

Question 17

Find 3A - 2B.​ ​

A)
B)
C)
D)
E)

Question 18

Find 6A.​ ​

A)
B)
C)
D)
E)

Question 19

Use the matrix capabilities of a graphing utility to evaluate the expression.Round your results to three decimal places,if necessary.​ ​

A)
B)
C)
D)
E)

Question 20

Find A + B.​ ​

A)
B)
C)
D)
E)

Question 21

Write the system of linear equations as a matrix equation,AX = B.​ ​

A)
B)
C)
D)
E)

Question 22

Find x and y.

A)x = -3,y = 3
B)x = 3,y = -4
C)no solution
D)x = 2,y = -3
E)x = 2,y = -4

Question 23

Use Gauss-Jordan elimination on the augmented matrix [A|B] to solve for the matrix X.​ ​

A)
B)
C)
D)
E)

Question 24

If possible,find AB and state the order of the result.​ ​

A) Order: 3 × 2
​
B) Order: 3 × 2
​
C) Order: 3 × 2
​
D) Order: 3 × 2
​
E) Order: 3 × 2

Question 25

If possible,find 3A + 2B.

A)
B)not possible
C)
D)
E)

Question 26

​Evaluate the expression. ​​

A)​[-21 ]
B)​[-17 -4 2]
C)​[-3 ]
D)​[ -3 0]
E)​not possible

Question 27

Use the matrix capabilities of a graphing utility to evaluate the expression.​ ​ ​

A)
B)
C)
D)not possible
E)

Question 28

Write the system of linear equations as a matrix equation,AX = B.​ ​

A)
B)
C)
D)
E)

Question 29

A corporation has three factories,each of which manufactures acoustic guitars and electric guitars.The number of units of guitars produced at factory j in one day is represented by a_ij in the matrix​ . ​
Find the production levels if production is increased by 20%.
​

A)
B)
C)
D)
E)

Question 30

Solve for X in the equation given.

A)
B)
C)
D)
E)

Question 31

If possible,find A². (Note: A² = AA. )​ ​

A)
B)
C)
D)
E)

Question 32

Solve the X in the following equation. ​​ ​
X = 3A - 2B
​

A)
B)
C)
D)
E)

Question 33

If possible,find AB.

A)
B)
C)
D)
E)not possible

Question 34

A corporation has four factories,each of which manufactures sport utility vehicles and pickup trucks.The number of units of vehicle i produced at factory j in one day is represented by a_ij in the matrix​ . ​
Find the production levels if production is increased by 10%.
​

A)
B)
C)
D)
E)

Question 35

Solve for X in the equation given.

A)
B)
C)not possible
D)
E)

Question 36

If possible,find AB and state the order of the result.​ ​

A) Order: 3 × 3
​
B) Order: 3 × 3
​
C) Order: 3 × 3
​
D) Order: 3 × 3
​
E) Order: 3 × 3
​

Question 37

Evaluate the expression.

A)
B)
C)not possible
D)
E)

Question 38

Write the system of linear equations as a matrix equation,AX = B.​ ​

A)
B)
C)
D)
E)

Question 39

If possible,find A - B.

A)
B)
C)
D)
E)not possible

Question 40

Find x and y.

A)x = -1,y = -5
B)x = -1,y = -1
C)x = 1,y = 5
D)x = -5,y = -1
E)x = 6,y = -8

Question 41

Find the product.​ ​

A) ​
B) ​
C) ​
D) ​
E)cannot multiply ​

Question 42

Find the product.​ ​

A) ​
B) ​
C) ​
D) ​
E)cannot multiply ​

Question 43

Find A + B.​

Question 44

Of the products AB,BA,A² and B²,which ones are possible for the given matrices?

A)AB only
B)AB and BA only
C)BA only
D)A² and B² only
E)AB,BA,A² and B²

Question 45

Find A - B.​ ​

A) ​
B) ​
C) ​
D) ​
E) ​

Question 46

Of the products AB,BA,A² and B²,which ones are possible for the given matrices?

A)B² only
B)A² only
C)BA only
D)AB only
E)AB and BA only

Question 47

Use the matrix capabilities of a graphing utility to find AB,if possible.

A)
B)
C)
D)not possible
E)

Question 48

Find 8A.​ ​

A) ​
B) ​
C) ​
D) ​
E) ​

Question 49

Find 3A.​

Question 50

If possible,find AB.

A)
B)not possible
C)
D)
E)

Question 51

​Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix to solve for the matrix X.

A)​
B)​
C)​
D)​
E)​

Question 52

​Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix [A|B] to solve for the matrix X.Show all your work.​

Question 53

A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed & Weed,Winterizer Blend,and 17-17-17.The number of bags that were sold last weekend is represented by A. The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars).​ Compute AB and interpret the result.

A) ​
B)
C)
D)
E)

Question 54

Evaluate the expression. ​

A)
B)
C)
D)not possible
E)

Question 55

Find 5A.​ ​

A) ​
B) ​
C) ​
D) ​
E) ​

Question 56

Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix to solve for the matrix X.

A)
B)
C)
D)
E)

Question 57

Evaluate the expression.

A)
B)
C)not possible
D)
E)

Question 58

Use the matrix capabilities of a graphing utility to find AB,if possible.

A)
B)
C)
D)
E)not possible

Question 59

Find the product.​ ​

A) ​
B) ​
C) ​
D) ​
E)114 ​