Deck 10: Matrices

Question 1

Solve the system of equations below by the Gaussian elimination method.

A)
B)
C)no solution
D)
E)

Answer 1

Question 2

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

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

Answer 2

Question 3

Write the constant matrix of the system of equations below.

A)
B)
C)
D)
E)

Answer 3

Question 4

Find the determinant of the matrix .

A)6
B)22
C)-63
D)-33
E)-12

Question 5

Solve for X in the equation given.

A)
B)
C)
D)
E)

Question 6

Solve for X in the equation given.

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

Question 7

If possible, find 2 A 5 B .

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

Question 8

Solve the system of linear equations using an inverse matrix.

A)
B)
C)
D)
E)

Question 9

Find the inverse of the matrix (if it exists).

A)does not exist
B)
C)
D)
E)

Question 10

Solve the system of linear equations using an inverse matrix.

A)
B)
C)
D)
E)

Question 11

If possible, find A B .

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

Question 12

Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists).

A)does not exist
B)
C)
D)
E)

Question 13

Solve the system of equations below by the Gaussian elimination method:

A)no solution
B)
C)
D)
E)

Question 14

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 . Feed Weed Winterizer 17-17-17 The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.

Question 15

Write the augmented matrix of the system of equations below.

A)
B)
C)
D)
E)

Question 16

If possible, find AB .

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

Question 17

Use the matrix capabilities of a graphing utility to solve the following system of linear equations:

A)
B)
C)
D)
E)

Question 18

Write the coefficient matrix of the system of equations below.

A)
B)
C)
D)
E)

Question 19

Find the inverse of the matrix .

A)
B)
C)
D)
E)

Question 20

Find the inverse of the matrix .

A)
B)
C)
D)
E)

Question 21

Use the matrix capabilities of a graphing utility to find the determinant of the matrix .

A)-10
B)4
C)-12
D)-6
E)7

Question 22

Find the determinant of .

A)0
B)64
C)-110
D)-96
E)-88

Question 23

Use the matrix capabilities of a graphing utility to find the determinant of the matrix .

A)-384
B)-32
C)-48
D)128
E)-64

Question 24

Use Cramer s Rule to solve the following system of linear equations:

A)
B)
C)
D)
E)

Question 25

Use Cramer s Rule to solve the following system of linear equations:

A)
B)
C)
D)
E)

Question 26

Use a determinant to find the area of the triangle shown below.

A) square units
B)14 square units
C) square units
D)12 square units
E) square units

Question 27

Use a determinant to find an equation of the line passing through the points and .

Question 28

Given , find .

A)168
B)-80
C)-120
D)40
E)88

Question 29

Find the determinant of .

A)-512
B)-448
C)0
D)256
E)192