Matrices

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]

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

• Yes

• No

What is the entry at f₄₂?

• 23

• -81

• -44

• 99

• -56

Find the determinant of the matrix

• A

• B

• C

• D

find: B*A

• 47     30
  9     5

• 17     15
  42     35

• 10     25
  7     1

• not possible because rows do not match columns

Perform the indicated operation

• 
• 
• 
• 
• not possible

Perform the indicated operation

• 
• 
• 
• 
• not possible

Find the product of the two matrices.

• undefined

• -3   16
  17   12
  8   -10

• 3   12 
  -15  -8
  -1   -3

Find the product of the two matrices.

• 17   12
  25   18

• 8   9
  12   6

• 6   6
  7   5

• 12   10
  10   12

Which system matches the augmented matrix shown?

• 2x+y+2z=2
  3x+5y-z=4
  x-2y-3z=6

• x+y+z=2
  3x-5y-z=4
  x+2y-3x=6

• 2x-2z+y=2
  3x-5y+z=-4
  x-2y-3z=6

• 2x+y+2z=2
  3x-5y-z=4
  x-2y-3z=-6