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Worksheet: Solving a System of Three Equations Using Matrices

In this worksheet, we will practice using matrices to solve systems of three linear equations.

Q1:

Solve using the inverse of a matrix.

  • A , ,
  • B , ,
  • C , ,
  • D , ,
  • E , ,

Q2:

Given that find the values of , , and .

  • A , ,
  • B , ,
  • C , ,
  • D , ,

Q3:

Given that find the values of π‘₯ , 𝑦 , and 𝑧 .

  • A π‘₯ = βˆ’ 3 , 𝑦 = 5 , 𝑧 = βˆ’ 4
  • B π‘₯ = 5 , 𝑦 = βˆ’ 4 , 𝑧 = βˆ’ 3
  • C π‘₯ = βˆ’ 3 , 𝑦 = βˆ’ 4 , 𝑧 = 5
  • D π‘₯ = βˆ’ 4 , 𝑦 = 5 , 𝑧 = βˆ’ 3

Q4:

Given that find the values of π‘₯ , 𝑦 , and 𝑧 .

  • A π‘₯ = βˆ’ 2 , 𝑦 = 3 , 𝑧 = 0
  • B π‘₯ = 3 , 𝑦 = 0 , 𝑧 = βˆ’ 2
  • C π‘₯ = βˆ’ 2 , 𝑦 = 0 , 𝑧 = 3
  • D π‘₯ = 0 , 𝑦 = 3 , 𝑧 = βˆ’ 2

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