Free Printable Inverse of Determinant

1.

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⌋

2.

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]

3.

Find the inverse of the matrix.

a)

b)

c)

d)

No Inverse Exists

4.

Identify

a)

singular matrix

b)

partial fraction

c)

coeffecient matrix

d)

inverse matrix

5.

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]

6.

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)}

7.

Find the inverse.

a)

A

b)

B

c)

C

d)

D

8.

Will this matrix have an inverse?

a)

Yes

b)

No

c)

Unable to Determine

9.

Are these matrices inverses of each other?

a)

Yes

b)

No

c)

Unable to Determine

10.

Find the inverse of the matrix

a)

A

b)

B

c)

C

d)

D

11.

a)

5 -2
-3 1

b)

-5 2
3 -1

c)

-5 3
2 -1

d)

1 -3
-2 5

12.

Determine if the matrix has an inverse, if so find it.

a)

No

b)

0 1
-1 2

c)

-1 3
1 -2

d)

2 -1
-1 1

Inverse of Determinant

Total questions: 12

Worksheet time: 12mins

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