Linear Algebra and Its Applications (5th Edition)

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

Chapter 5 - Eigenvalues and Eigenvectors - 5.4 Exercises - Page 295: 1

Answer

$\begin{bmatrix} 3&-1&0\\ -5&6&4 \end{bmatrix}$

Work Step by Step

Let $M$ be the matrix for $T$ relative to $B$ and $D$. $M=[T(\vec{b_1})_D\ \ \ \ T(\vec{b_3})_D\ \ \ T(\vec{b_3})_D ]=\begin{bmatrix} 3&-1&0\\ -5&6&4 \end{bmatrix}$
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