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Worksheet: Solving a Matrix Equation by Finding the Inverse

Q1:

Use the inverse matrix to solve giving your answer as an appropriate matrix.

  • A 1 6 2 1 5 5 7
  • B 7 2 2 2 0
  • C 7 2 2 3 0
  • D 7 2 2 2 0
  • E 7 2 2 2 0

Q2:

Use the inverse matrix to solve Give your answer as an appropriate matrix.

  • A
  • B
  • C
  • D
  • E

Q3:

Given that what is ?

Q4:

Given that determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q5:

Given that determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q6:

Given that determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q7:

Given that determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q8:

Given that determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q9:

Given that determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q10:

Given that determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q11:

Use the inverse matrix to solve the system giving your answer as an appropriate matrix.

  • A 6 1
  • B 6 5
  • C 1 0 2 1 7
  • D 6 1
  • E 1 6

Q12:

Consider the matrices and . If , determine .

  • A
  • B
  • C
  • D

Q13:

Given that find .

  • A
  • B
  • C
  • D

Q14:

Given that , find .

  • A
  • B
  • C
  • D

Q15:

Given that solve the equation , where and is the unit matrix of order .