Finding Inverses of Matrices

What is the inverse of this matrix?

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

• _{(1/5)  (-4/5)
  (3/5)  (13/5)}

• _{(6/25)  (-2/25)
  (2/25)  (9/25)}

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

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

• [1/2    0]
  [0    1/3]

• [-3  0]
  [0  -2]

• ⌈1/3   0⌉
  ⌊0   1/2⌋

• [2  0]
  [0  3]

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

• [1  2]
  [3  4]

• [6  0]
  [4  2]

• ⌈6  3⌉
  ⌊4  2⌋

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

Will this matrix have an inverse?

• Yes

• No

• Unable to Determine

Find the inverse of the matrix

• A

• B

• C

• D

If two matrices are inverses, then their product is the identity matrix.

• True

• False