## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 8 - Section 8.4 - Multiplicative Inverses of Matrices and Matrix Equations - Exercise Set - Page 934: 66

#### Answer

The inverse is $A=\left[ \begin{matrix} -1 & -0.5 \\ -3 & -2 \\ \end{matrix} \right]$.

#### Work Step by Step

Consider the matrix $A=\left[ \begin{matrix} -4 & 1 \\ 6 & -2 \\ \end{matrix} \right]$. We have to find the inverse of matrix $A$ by using a graphing calculator. We will follow the steps given below: (1) We select the matrix $A$ from the matrix edit menu and then enter or accept the dimensions. (2) Use ${{2}^{nd}}$ and press the matrix button. (3) Select the matrix $A$ and use the function ${{X}^{-1}}$ for the inverse of matrix $A$ and press ENTER. (4) Find the ${{A}^{-1}}$ Thus, the inverse of the matrix $A$ is $\left[ \begin{matrix} -1 & -.5 \\ -3 & -2 \\ \end{matrix} \right]$ Now, check the result: show that $A{{A}^{-1}}=I$ So, we multiply matrix $A$ with ${{A}^{-1}}$ to obtain the identity matrix. Thus the inverse of the given matrix is correct.

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