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Algebra (all content)

Course: Algebra (all content) > Unit 20

Lesson 16: Solving equations with inverse matrices
Math
Algebra (all content)
Matrices
Solving equations with inverse matrices
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Use matrices to represent systems of equations

CCSS.Math: HSA.REI.C.8
Google Classroom

Problem

Consider this system of equations.
{ 2x−8y+z=53y+2z=−108x−9y+z=4\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:
A[xyz]=b⃗\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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