3.1 Multiplication, Determinants, Inverses of Matrices

Perform the matrix multiplication, if possible.

• 
• 
• 
• Cannot be multiplied, dimensions not compatible.

Tags

CCSS.HSN.VM.C.8

Perform the matrix multiplication, if possible.

• 
• 
• 
• Cannot be multiplied, dimensions not compatible.

Tags

CCSS.HSN.VM.C.8

Perform the matrix multiplication, if possible.

• 
• 
• 
• Cannot be multiplied, dimensions not compatible.

Tags

CCSS.HSN.VM.C.8

What is the determinant of this matrix?

• -2

• 2

• 10

• 24

What is the determinant of this matrix?

• 5

• -5

• 0

• -12

Calculate the determinant

• 0
• -15
• -70
• 10

Find the determinant of the given matrix?

• 5

• -5

• 0

• -75

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)}

Tags

CCSS.HSA.REI.C.9

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]

Tags

CCSS.HSA.REI.C.9

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

• Yes
• No

Tags

CCSS.HSA.REI.C.9