Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.4 Matrix Algebra - 10.4 Assess Your Understanding - Page 776: 8

Answer

$X=A^{-1} B$

Work Step by Step

When a matrix $A$ has an inverse $A^{−1}$, then the matrix $A$ is called non-singular. When the matrix A has no inverse, then it is known as singular. When $AX=B$ represents a matrix equation for a non-singular matrix $A$, then, we can solve this equation as: $X=A^{-1} B$ In other words, we take the inverse of $A$ and multiply it by $B$ to solve for $X$.
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