Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 2 - Matrices - Review Exercises - Page 99: 39

Answer

The three matrices are $I=\left[\begin{array}{cc} 1&0\\ 0&1 \end{array}\right]$ and $O=\left[\begin{array}{cc} 0&0\\ 0&0 \end{array}\right]$ and the matrix $\left[\begin{array}{cc} 1&0\\ 0&0 \end{array}\right]$

Work Step by Step

The three matrices are $I=\left[\begin{array}{cc} 1&0\\ 0&1 \end{array}\right]$ and $O=\left[\begin{array}{cc} 0&0\\ 0&0 \end{array}\right]$ and the matrix $\left[\begin{array}{cc} 1&0\\ 0&0 \end{array}\right]$ because $I^{2}=I$ and $O^{2}=O$ and $\left[\begin{array}{cc} 1&0\\ 0&0 \end{array}\right]$ $\left[\begin{array}{cc} 1&0\\ 0&0 \end{array}\right]$=$\left[\begin{array}{cc} 1&0\\ 0&0 \end{array}\right]$
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