Finding Inverses of Matrices

Identify

• singular matrix
• partial fraction
• coeffecient matrix
• inverse matrix

Calculate the determinant

• 0
• -15
• -70
• 10

What is the determinant of this matrix?

• 5
• 25
• -25
• 1

Does the following have an inverse? 
⌈6  4⌉
⌊3  2⌋
*Inverse=
                 ¹∕detA × ⌈d  −b⌉                                      ⌊−c  a⌋

• Yes, 
• No. 

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⌋