Free Printable Matrices

Free Printable Worksheets

Worksheets

Matrices

Total questions: 24

Worksheet time: 29mins

Name

Class

Date

1.

Name the dimensions:

a)

6x2

b)

2x6

c)

12

d)

36

2.

Given matrices A and B find B+A

a)

b)

c)

d)

3.

Find X - Y

a)

b)

c)

d)

4.

Perform the indicated operation

a)

b)

c)

d)

e)

not possible

5.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

There can't be any zeros.

d)

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

6.

Algebra High cheerleaders are selling sweatshirts for the Football Team. The inventory of sweatshirts as well as sweatshirts sold on A-Days and B-Days are given in the matrices. Which matrix shows the total of sweatshirts sold for both days in each category, color/size, by the cheerleaders?

a)

b)

c)

d)

7.

Which matrix shows the inventory of sweatshirts remaining after the A-Day sales? Inventory means how many shirts they have available to sell or what is in stock.

a)

b)

c)

d)

8.

Which matrix shows the inventory of sweatshirts remaining after the B-Day sales?

a)

b)

c)

d)

9.

Which matrix shows the inventory of sweatshirts remaining after both A-Day & B-Day sales?

a)

b)

c)

d)

10.

The cheerleaders sold out of which of the following sweatshirts? (refer to your answer from Question 4.)

a)

Sm Gray

b)

XL Black

c)

XXL Yellow

d)

Med Yellow

e)

They did not sell out of any sweatshirts.

11.

How many black sweatshirts were sold in total by both A-Day & B-Day cheerleaders?

a)

113

b)

45

c)

68

d)

Can't Be Determined.

12.

How many small sweatshirts were sold in total by both A-Day & B-Day cheerleaders?

a)

39

b)

30

c)

69

d)

Can't Be Determined.

13.

Who sold the most sweatshirts?

a)

A-Day

b)

B-Day

c)

Can't Be Determined.

14.

Of the gray sweatshirts sold, which size had the most sales?

a)

Small

b)

Medium

c)

Large

d)

XL

e)

XXL

15.

What does SOLD B-DAY[2, 3] represent?

a)

11 L Yellow Sweatshirt Sold

b)

10 Med Gray Sweatshirts Sold

c)

14 Med Gray Sweatshirts Sold

d)

13 L Yellow Sweatshirts Sold

16.

In Matrix R (pictured) what element is in the second row, third column?

a)

8

b)

9.01

c)

6

d)

1

17.

What do m, n, p and q equal in this scalar matrix multiplication?

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 -3A

a)

b)

c)

d)

Does Not Exist

19.

Find (Y + Z) + 2X

a)

b)

c)

d)

Does Not Exist

20.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

21.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

( 2 x 2 )

b)

( 6 x 2)

c)

( 2 x 6 ) )

d)

( 3 x 2 )

22.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

undefined

b)

( 3 x 1 )

c)

( 1 x 2 )

d)

( 3 x 2 )

23.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

( 3 x 1 )

b)

( 3 x 2 )

c)

( 3 x 3 )

d)

undefined

24.

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

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