Inverse of a Matrix

Which of the following statements are true. Select all that apply.

• AB = I

• BA = I

• A is the inverse of B

• B is the inverse of A

Find the inverse of the matrix. (HINT: The formula is the quickest since this is 2x2.)

• 
• 
• 
• Does not exist.

What letter do we use to represent the inverse matrix?

Multiplication of an invertible matrix and its inverse is commutative.

• True

• False

Will this matrix have an inverse?

• Yes

• No

• Unable to Determine

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

• Yes

• No

Are these matrices inverses of each other?

• Yes

• No

• Unable to Determine

Find the inverse.

• A

• B

• C

• D

Which option below correctly shows the steps to find the inverse of this matrix?

• 
• 
• 
• No Inverse Exists

Find the inverse of the matrix.

• 
• 
• 
• No Inverse Exists