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Lesson: Solving a System of Three Equations Using Matrices

In this lesson, we will learn how to use matrices to solve systems of three linear equations.

Sample Question Videos

05:35
05:37

Worksheet • 4 Questions • 2 Videos

Q1:

Solve 1 − 1 − 1 1 1 − 1 1 1 0 𝑥 𝑦 𝑧 = 9 − 1 1 6 using the inverse of a matrix.

  • A 𝑥 = 1 6 , 𝑦 = − 1 0 , 𝑧 = 1 7
  • B 𝑥 = 1 7 , 𝑦 = − 1 0 , 𝑧 = 1 6
  • C 𝑥 = − 1 0 , 𝑦 = 1 6 , 𝑧 = 1 7
  • D 𝑥 = − 1 1 , 𝑦 = 9 , 𝑧 = 1 7
  • E 𝑥 = 9 , 𝑦 = − 1 1 , 𝑧 = 1 7

Q2:

Given that find the values of 𝑥 , 𝑦 , and 𝑧 .

  • A 𝑥 = − 4 , 𝑦 = 8 , 𝑧 = − 1 6
  • B 𝑥 = 8 , 𝑦 = − 4 , 𝑧 = − 1 6
  • C 𝑥 = − 1 6 , 𝑦 = − 4 , 𝑧 = 8
  • D 𝑥 = − 1 6 , 𝑦 = 8 , 𝑧 = − 4

Q3:

Given that find the values of 𝑥 , 𝑦 , and 𝑧 .

  • A 𝑥 = − 4 , 𝑦 = 5 , 𝑧 = − 3
  • B 𝑥 = 5 , 𝑦 = − 4 , 𝑧 = − 3
  • C 𝑥 = − 3 , 𝑦 = − 4 , 𝑧 = 5
  • D 𝑥 = − 3 , 𝑦 = 5 , 𝑧 = − 4

Q4:

Given that find the values of 𝑥 , 𝑦 , and 𝑧 .

  • A 𝑥 = 0 , 𝑦 = 3 , 𝑧 = − 2
  • B 𝑥 = 3 , 𝑦 = 0 , 𝑧 = − 2
  • C 𝑥 = − 2 , 𝑦 = 0 , 𝑧 = 3
  • D 𝑥 = − 2 , 𝑦 = 3 , 𝑧 = 0
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