Free Printable Identity and Inverse Matrices

1.

What is the inverse of this matrix?

a)

_{(1/25) (-4/25)}
_{(3/25) (13/25)}

b)

_{(1/5) (-4/5)}
_{(3/5) (13/5)}

c)

_{(6/25) (-2/25)}
_{(2/25) (9/25)}

d)

_{(1/150) (-4/150)}
_{(3/150) (13/150)}

2.

What is the inverse of the following matrix?
⌈4 −3⌉
⌊12 3⌋
*det= 38

a)

⌈³∕₃₈ ³∕₃₈⌉
⌊−⁶∕₁₉ ²∕₁₉⌋

b)

⌈⁴∕₃₈ −³∕₃₈⌉
⌊¹²∕₃₈ ³∕₃₈⌋

c)

⌈²∕₁₉ −³∕₃₈⌉
⌊−⁶∕₁₉ ³∕₃₈⌋

d)

⌈³∕₃₈ ³∕₃₈⌉
⌊−¹²∕₃₈ ⁴∕₃₈⌋

3.

Solve for the determinant of the following matrix:
⌈12 −3⌉
⌊−6 15⌋
*detA= ad-bc

a)

198

b)

162

c)

-333

d)

-9

4.

Which of the following matrices has an inverse of ⌈−⅗ ⅘⌉
⌊⅖ −⅕⌋ ?
*det = -5

a)

⌈1 2⌉
⌊3 4⌋

b)

⌈1 3⌉
⌊2 4⌋

c)

⌈1 4⌉
⌊2 3⌋

d)

⌈−3 4⌉
⌊2 −1⌋

5.

Which of the following matrices do NOT have an inverse?
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋

a)

[1 2]
[3 4]

b)

[6 0]
[4 2]

c)

⌈6 3⌉
⌊4 2⌋

6.

Which of the following has a determinant of 0?
*det= ad-bc

a)

⌈1 0⌉
⌊2 3⌋

b)

⌈-4 -2⌉
⌊6 3⌋

7.

Which of the following is the inverse of the matrix A=
⌈3 0⌉
⌊0 2⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋

a)

[1/2 0]
[0 1/3]

b)

[-3 0]
[0 -2]

c)

⌈1/3 0⌉
⌊0 1/2⌋

d)

[2 0]
[0 3]

8.

Which matrix has an undefined inverse?
*undefined matrices have determinants of 0

a)

[1 2]
[0 3]

b)

[1/2 3/4]
[4/2 9/3]

9.

Are A and B inverses?
A = ⌈3 -10⌉
⌊1 4⌋
B = ⌈2/11 5/11⌉
⌊-1/22 3/22⌋
*AB=I

a)

Yes

b)

No

10.

Calculate the inverse for this matrix.

4 lines

11.

Calculate the inverse for this matrix.

4 lines

12.

What is the determinant of this matrix?

a)

5

b)

25

c)

-25

d)

1

13.

What is the inverse of this matrix?

a)

_{(1/25) (-4/25)}
_{(3/25) (13/25)}

b)

_{(1/5) (-4/5)}
_{(3/5) (13/5)}

c)

_{(6/25) (-2/25)}
_{(2/25) (9/25)}

d)

_{(1/150) (-4/150)}
_{(3/150) (13/150)}

14.

Which matrix is an identity matrix?

a)

A

b)

B

c)

C

d)

D

Identity and Inverse Matrices

Total questions: 14

Worksheet time: 3hrs 37mins

Similar Resources on Wayground