Free Printable Matrix Arithmetic

1.

What is a Matrix?

a)

An equation of over 5 numbers or symbols

b)

A set of numbers in rows and columns

c)

A method of finding the n^th value of a series

d)

A complicated number system

2.

A __________ matrix is a matrix with rows = columns.

a)

Same

b)

Equal

c)

Big

d)

Square

3.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Numbers

4.

Name the dimensions of this matrix.

a)

6x2

b)

2x6

c)

12

d)

36

5.

Dimensions?

a)

a

b)

b

c)

c

d)

d

6.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

7.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

8.

In Matrix R (pictured) what element is r₂₃?

a)

8

b)

9.01

c)

6

d)

1

9.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The size must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

10.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

11.

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

12.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

13.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

14.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

15.

Given matrices A & B:
A is a (4x33) matrix
B is a (33x1) matrix
What are the dimensions of the product of A times B?

a)

4x1

b)

4x33

c)

33x1

d)

Matrix does not exist

16.

These matrices are being multiplied. Determine the dimension/size of the new matrix.

a)

Can't multiply them

b)

4 x 2

c)

3 x 3

d)

4 x 3

17.

find the value of m, n, p and q.

a)

m=8, n=9, p=-4, q=4

b)

m=15, n = -45, p=20, q=-5

c)

m=20, n=-5, p=15, q=-45

d)

m=-5, n=20, p=-45, q=15

18.

Find the product of the two matrices.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

19.

Find the product of the two matrices.

a)

1 2
6 -8

b)

-3 -5
-5 -11

c)

-2 8
-6 -12

d)

2 -3
5 -2

20.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

21.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

22.

Find the inverse of the matrix

a)

A

b)

B

c)

C

d)

D

23.

Find the inverse of the matrix

a)

A

b)

B

c)

C

d)

D

24.

Find the inverse of the matrix

a)

A

b)

B

c)

C

d)

D

25.

Solve the system. Write the matrix equation on your own paper.
-5x + 5y = -10
-7x + 4y = 13

a)

(-7, -5)

b)

(-7, -9)

c)

(7, -9)

d)

(-7, 5)

26.

Solve the system using matrices
x + 2y = 2
5x - 6y = - 54

a)

(-6, 4)

b)

(-8, 4)

c)

(8, 4)

d)

(6, 4)

27.

Solve the system using matrices
3x - 8x = 32
x + y = 7

a)

(-8, 1)

b)

(8, -1)

c)

(-1,8)

d)

(1, -8)

28.

Solve the system using matrices
x + 7y = - 21
9x + 7y = 35

a)

(7, -4)

b)

(-4, 7)

c)

(7, 4)

d)

(-4, -7)

Matrix Arithmetic

Total questions: 28

Worksheet time: 4hrs 39mins

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