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Course: Precalculus > Unit 7

Lesson 15: Solving linear systems with matrices
Math
Precalculus
Matrices
Solving linear systems with matrices
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Use matrices to solve systems of equations

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Problem

A system of three linear equations is represented by the following matrix equation:
Ax→b→[4−32−13−421−3]⋅[xyz]=[0−7−8]
This is the inverse of matrix A:
A−1=[57−61116−14710−9]
Solve the system.
x=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
y=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
z=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi