Free Printable Matrices Review

1.

Find the product of the two matrices.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

2.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

3.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

4.

Find:

A - B

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

5.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

6.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

7.

What are the dimensions of this matrix?

a)

3x1

b)

1x3

c)

3x3

d)

1x1

8.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

9.

In Matrix R (pictured) what element is a₂₃?

a)

8

b)

9.01

c)

6

d)

1

10.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

11.

This year the senior class at high school A and the senior class at high school B both planned trips to Yellowstone National Park. The senior class at high school A rented and filled 14 vans and 4 buses with 250 students. high school B rented and filled 2 vans and 12 buses with 390 students. How many students can a van carry? How many students can a bus carry?

a)

van: 9 students

bus: 31 students

b)

van: 31 students

bus: 9 students

c)

van: 28 students

bus: 13 students

d)

van: 6 students

bus: 25 students

12.

Mike and Pranav are selling pies for a school fundraiser. Mike sold 7 blueberry pies and 12 pumpkin pies for a total of $200. Pranav sold 9 blueberry pies and 2 pumpkin pies for a total of $96. Find the cost each of one blueberry pie and one pumpkin pie.

a)

blueberry: $8

pumpkin: $12

b)

blueberry: $12

pumpkin: $8

c)

blueberry: $6

pumpkin: $15

d)

blueberry: $5.75

pumpkin: $7.50

13.

Find the determinant of the following matrix:

a)

3

b)

-3

c)

0

d)

4

14.

Find the determinant of the following matrix.

a)

1

b)

-1

c)

10

d)

9

15.

Identify the inverse of the following matrix.

a)

1 -1

2 -1

b)

-1 1

-2 1

c)

1 0

0 1

d)

no inverse exists

16.

Find the inverse of the following matrix.

a)

No inverse exists

b)

6 4

-4 6

c)

1 3

2 4

d)

7 -2

-4 1

17.

Write the following system of equations in matrix form:
$-18x-y=-9$

$2y-18=-9x$

a)

-18 -1 -9

9 2 18

b)

18 1 -9

2 9 18

c)

-18 -1 -9

2 -18 -9

d)

-18 -1 9

-9 2 18

18.

Use matrices to solve the following system of equations:

$0=-16y+12x+12$

$9=-x+4y$

a)

(3, 3)

b)

No solution

c)

(-2, -3)

d)

(-2, 5)

e)

infinitely many solutions

19.

Use matrices to solve the following system of equations:

$0=-9y-x$

$81y=-9x$

a)

infinitely many solutions

b)

(9, 2)

c)

(-2, 9)

d)

(9, -2)

e)

No solution

20.

Calculate the determinant

a)

0

b)

none

c)

-32

d)

-8

21.

Find the determinant of the matrix

a)

-28

b)

-20

c)

20

d)

0

22.

Perform the indicated operation. If it’s not possible, select Not Possible.

a)

1 3
9 16

b)

1 3
9 -16

c)

-1 3
9 -16

d)

Not Possible

23.

There are (a) dogs and (b) parrots.

Choose from the below words

10

8

11

2

5

15

12

14

6

4

24.

What is the inverse of this matrix?

a)

b)

c)

d)

25.

Click on the entry that is m_3,1.

A

B

C

D

E

F

G

H

I

26.

Click on the entry that is m_2,3.

A

B

C

D

E

F

G

H

I

27.

Find the inverse of the matrix

a)

$\frac{1}{6}$ $-\frac{1}{4}$

$-\frac{1}{6}$ $\frac{3}{4}$

b)

$\frac{1}{6}$ $-\frac{1}{4}$

$2$ $\frac{3}{4}$

c)

$-\frac{1}{6}$ $\frac{1}{2}$

$-\frac{3}{4}$ $\frac{1}{7}$

d)

$\frac{1}{7}$ $\frac{1}{9}$

$-\frac{1}{5}$ $\frac{2}{3}$

e)

$\frac{1}{3}$ $-\frac{3}{4}$

$-\frac{1}{6}$ $\frac{1}{8}$

28.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

29.

What is A^-1?

a)

b)

c)

d)

30.

A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?

a)

8 pigs

2 ducks

b)

8 ducks

2 pigs

c)

6.25 pigs

4 ducks

d)

5 pigs

5 ducks

31.

Devin was saving to buy a new toy at the local toy store. After weeks of saving, he emptied his piggy bank and counted. The 35 nickels and quarters had a total value of $4.15.

How many nickels and quarters were in the piggy bank?

a)

23 nickels

12 quarters

b)

23 quarters

12 nickels

c)

23 dimes

12 quarters

d)

30 nickels

4 quarters

Matrices Review

Total questions: 31

Worksheet time: 1hrs 19mins

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