Determinants and Inverse Matrix

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]

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

• 198

• 162

• -333

• -9

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

• ⌈1  2⌉
  ⌊3  4⌋

• ⌈1 3⌉
  ⌊2  4⌋

• ⌈1  4⌉
  ⌊2  3⌋

• ⌈−3  4⌉
  ⌊2 −1⌋

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

• Yes

• No

Find the determinant of the given matrix?

• 5

• -5

• 0

• -75

Find the inverse.

• A

• B

• C

• D

• 
• 
• 
• 

Det(AB) = Det(A).Det(B)

• Statement is true only for some A and B.

• Statement is always true.

• Statement is never true.

Find the inverse of the matrix, if it exists.

• singular, no inverse

• 
• 
• 

What is the correct order of solving systems of equations?

• Set up the matrix. 2. Find the determinant. 3. Multiply the determinant by the solution matrix.

• Set up the matrix. 2. Multiply [A] *[B] - (the solution matrix) 3. Find the inverse of that answer.

• Set up the matrix. 2. Find the inverse of [A]. 3. Multiply the inverse by the solution matrix.

• Use a calculator.