Free Printable Matrices

1.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

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

2.

a)

b)

c)

d)

e)

3.

a)

b)

c)

d)

e)

4.

a)

b)

c)

d)

5.

If 𝐴 is a 2 × 3 matrix and 𝐵 is a 3 × 2 matrix, can you add the matrices 𝐴 and 𝐵?

a)

Yes

b)

No

6.

a)

𝑥=18, 𝑦=4, 𝑧=21, 𝑎=−1, 𝑏=3

b)

𝑥=18, 𝑦=4, 𝑧=−21, 𝑎=−11, 𝑏=3

c)

𝑥=18, 𝑦=−4, 𝑧=21, 𝑎=11, 𝑏=3

d)

𝑥=18, 𝑦=4, 𝑧=21, 𝑎=11, 𝑏=7

7.

Which sums can NOT be made from the following matrices ?

a)

A+A

b)

A+C

c)

B+D

d)

C+C

8.

The matrix A - B is

a)

b)

c)

d)

9.

Find the value of x and y if

a)

x=2 , y=5

b)

x=3, y=3

c)

x=3, y=5

d)

x=5, y=3

10.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

11.

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

12.

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

13.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

14.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

15.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

16.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

17.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

18.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

19.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

20.

Find the inverse of the matrix

a)

A

b)

B

c)

C

d)

D

21.

Find the inverse of the matrix

a)

A

b)

B

c)

C

d)

D

22.

Calculate the determinant

a)

0

b)

none

c)

-32

d)

-8

23.

a)

5 -2
-3 1

b)

-5 2
3 -1

c)

-5 3
2 -1

d)

1 -3
-2 5

24.

Evaluate the det (B).

a)

7

b)

-7

c)

23

d)

-23

25.

Find the value of det (D).

a)

15

b)

5

c)

0

d)

-5

Matrices

Total questions: 25

Worksheet time: 44mins

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