Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.4 - Multiplicative Inverses of Matrices and Matrix Equations - Exercise Set - Page 934: 67

Answer

The inverse is $ A=\left[ \begin{matrix} 1 & 0 & 1 \\ 2 & 1 & 3 \\ -1 & 1 & 1 \\ \end{matrix} \right]$.

Work Step by Step

Consider the given matrix, $ A=\left[ \begin{matrix} -2 & 1 & -1 \\ -5 & 2 & -1 \\ 3 & -1 & 1 \\ \end{matrix} \right]$ We have to find the inverse of matrix $ A $ by using a 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) We find the ${{A}^{-1}}$ Therefore, the inverse of the matrix $ A $ is $ A=\left[ \begin{matrix} 1 & 0 & 1 \\ 2 & 1 & 3 \\ -1 & 1 & 1 \\ \end{matrix} \right]$ Now, check the result: show that we can multiply matrix $ A $ with ${{A}^{-1}}$ to obtain the identity matrix. Hence, the inverse of the given matrix is correct.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.