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## Algebra (all content)

### Course: Algebra (all content)>Unit 20

Lesson 16: Solving equations with inverse matrices

# Use matrices to represent systems of equations

## Problem

Consider this system of equations.
\left\{\,\begin{aligned}2x-8y+z&=5 \\\\3y+2z&=-10 \\\\8x-9y+z&=4\end{aligned}\right.
The system can be represented by the following matrix equation where A is a 3, times, 3 matrix and b, with, vector, on top is a 3D vector:
$\bold{A}\left[\begin{array}{c} x \\\\ y \\\\ z \end{array} \right]=\vec{b}$
Find A and b, with, vector, on top.
Ab, with, vector, on top
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