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Lesson: Solving a Matrix Equation by Finding the Inverse

Worksheet • 15 Questions

Q1:

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

  • A
  • B
  • C
  • D
  • E

Q2:

Given that determine the values of π‘₯ and 𝑦 .

  • A π‘₯ = βˆ’ 7 , 𝑦 = βˆ’ 1
  • B π‘₯ = βˆ’ 1 , 𝑦 = βˆ’ 7
  • C π‘₯ = 1 3 , 𝑦 = βˆ’ 7
  • D π‘₯ = βˆ’ 4 3 , 𝑦 = 1

Q3:

Given that find ο€» π‘₯ 𝑦  .

  • A ο€Ό 1 βˆ’ 6 
  • B ο€Ό βˆ’ 6 1 
  • C ο€Ό 3 βˆ’ 7 
  • D ο€Ό βˆ’ 7 3 

Q4:

Given that ο€Ό βˆ’ 3 βˆ’ 5 2 βˆ’ 8  ο€» π‘₯ 𝑦  = ο€Ό βˆ’ 6 4  , find ο€» π‘₯ 𝑦  .

  • A ο€Ό 2 0 
  • B ο€Ό 0 2 
  • C ο€Ό βˆ’ 2 βˆ’ 1 4 
  • D ο€Ό βˆ’ 1 4 βˆ’ 2 

Q5:

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

  • A
  • B
  • C
  • D
  • E

Q6:

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

  • A
  • B
  • C
  • D
  • E

Q7:

Given that what is 𝑦 ?

Q8:

Consider the matrices

If 𝐴 Γ— 𝐢 = 𝐡 , determine 𝐢 .

  • A ο€Ό 2 βˆ’ 1 0 0 
  • B ο€Ό 1 4 0 3 
  • C ο€Ό βˆ’ 2 1 0 0 
  • D ο€Ό 1 0 0 1 

Q9:

Given that solve the equation 𝐴 + 𝐴 = Γ— 𝐼 βˆ’ 1 , where π‘₯ 𝑦 = 1 5 and 𝐼 is the unit matrix of order 2 Γ— 2 .

Q10:

Given that determine the values of π‘₯ and 𝑦 .

  • A π‘₯ = 5 , 𝑦 = 6
  • B π‘₯ = 6 , 𝑦 = 5
  • C π‘₯ = βˆ’ 4 , 𝑦 = 1
  • D π‘₯ = βˆ’ 2 5 , 𝑦 = 1 0

Q11:

Given that determine the values of π‘₯ and 𝑦 .

  • A π‘₯ = 4 , 𝑦 = βˆ’ 1
  • B π‘₯ = βˆ’ 1 , 𝑦 = 4
  • C π‘₯ = 1 7 , 𝑦 = 1 1
  • D π‘₯ = 3 3 , 𝑦 = 3 4

Q12:

Given that determine the values of π‘₯ and 𝑦 .

  • A π‘₯ = 4 , 𝑦 = 2
  • B π‘₯ = 2 , 𝑦 = 4
  • C π‘₯ = βˆ’ 1 4 , 𝑦 = 9
  • D π‘₯ = βˆ’ 4 4 , 𝑦 = 2 4

Q13:

Given that determine the values of π‘₯ and 𝑦 .

  • A π‘₯ = βˆ’ 6 , 𝑦 = βˆ’ 1
  • B π‘₯ = βˆ’ 1 , 𝑦 = βˆ’ 6
  • C π‘₯ = 8 , 𝑦 = βˆ’ 1
  • D π‘₯ = βˆ’ 3 , 𝑦 = 1 6

Q14:

Given that determine the values of π‘₯ and 𝑦 .

  • A π‘₯ = 6 , 𝑦 = 9
  • B π‘₯ = 9 , 𝑦 = 6
  • C π‘₯ = 6 , 𝑦 = 3
  • D π‘₯ = 4 5 , 𝑦 = 9

Q15:

Given that determine the values of π‘₯ and 𝑦 .

  • A π‘₯ = βˆ’ 4 , 𝑦 = βˆ’ 9
  • B π‘₯ = βˆ’ 9 , 𝑦 = βˆ’ 4
  • C π‘₯ = βˆ’ 8 , 𝑦 = βˆ’ 1 4
  • D π‘₯ = 3 7 , 𝑦 = 1 0 6
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