Alg2_Inverse Matrices

What is the formula for the determinant of a 2x2 matrix?

• ad-bc

• ab-cd

• ad+bc

• (a+d)(b+c)

What is the determinant of this matrix?

• 5

• -5

• 0

• -12

Will this matrix have an inverse?

• Yes

• No

• Unable to Determine

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]