Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - 9.7 Properties of Matrices - 9.7 Exercises - Page 930: 60

Answer

$\begin{bmatrix} -7\sqrt {5} \\ 3 \sqrt 5 \end{bmatrix}$

Work Step by Step

$AB=\begin{bmatrix} -9 & 2 & 1 \\ 3 & 0 & 0 \end{bmatrix} \begin{bmatrix} \sqrt 5 \\ \sqrt {20} \\ - 2\sqrt 5 \end{bmatrix} \\=\begin{bmatrix} \sqrt 5(-9)+(\sqrt {20})(2)-2\sqrt 5 \\(\sqrt 5)(3)+0+0 \end{bmatrix}\\=\begin{bmatrix} \sqrt 5 (-9) +\sqrt {5} (4)-2\sqrt 5 \\ 3 \sqrt 5 \end{bmatrix}\\= \begin{bmatrix} -7\sqrt {5} \\ 3 \sqrt 5 \end{bmatrix}$
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