Identity and Inverse 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)}

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

• ⌈³∕₃₈  ³∕₃₈⌉
  ⌊−⁶∕₁₉  ²∕₁₉⌋
• ⌈⁴∕₃₈  −³∕₃₈⌉
  ⌊¹²∕₃₈  ³∕₃₈⌋
• ⌈²∕₁₉  −³∕₃₈⌉
  ⌊−⁶∕₁₉  ³∕₃₈⌋
• ⌈³∕₃₈  ³∕₃₈⌉
  ⌊−¹²∕₃₈  ⁴∕₃₈⌋

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⌋

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⌋

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

• ⌈1  0⌉
  ⌊2  3⌋
• ⌈-4  -2⌉
  ⌊6   3⌋

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

• [1  2]
  [0  3]
• [1/2  3/4]
  [4/2  9/3]

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

• Yes
• No

Calculate the inverse for this matrix.

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