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Precalculus

Lesson 12: Representing systems of equations with matrices

Use matrices to represent systems of equations

Consider this system of equations.

{\begin{aligned} 2 x - 8 y + z & = 5 \\ 3 y + 2 z & = - 10 \\ 8 x - 9 y + z & = 4 \end{aligned}

The system can be represented by the following matrix equation where

A

is a

3 \times 3

matrix and

\vec{b}

is a 3D vector:

A [\begin{matrix} x \\ y \\ z \end{matrix}] = \vec{b}

Find $A$ ‍ and $\vec{b}$ ‍.

$A$ ‍	$\vec{b}$ ‍

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