Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 2 - Matrix Algebra - 2.7 Exercises - Page 146: 3

Answer

$\left[\begin{array}{ccc}\sqrt{2} / 2 & -\sqrt{2} / 2 & \sqrt{2} \\ \sqrt{2} / 2 & \sqrt{2} / 2 & 2 \sqrt{2} \\ 0 & 0 & 1\end{array}\right]$

Work Step by Step

$\left[\begin{array}{ccc}\sqrt{2} / 2 & -\sqrt{2} / 2 & 0 \\ \sqrt{2} / 2 & \sqrt{2} / 2 & 0 \\ 0 & 0 & 1\end{array}\right]\left[\begin{array}{ccc}1 & 0 & 3 \\ 0 & 1 & 1 \\ 0 & 0 & 1\end{array}\right]=\left[\begin{array}{ccc}\sqrt{2} / 2 & -\sqrt{2} / 2 & \sqrt{2} \\ \sqrt{2} / 2 & \sqrt{2} / 2 & 2 \sqrt{2} \\ 0 & 0 & 1\end{array}\right]$
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