Linear Algebra and Its Applications, 4th Edition

Published by Brooks Cole
ISBN 10: 0030105676
ISBN 13: 978-0-03010-567-8

Chapter 1 - Section 1.4 - Matrix Notation and Matrix Multiplication - Problem Set - Page 26: 7

Answer

$(a) \begin{bmatrix} 1 & 0 & 0\\ 0 & 2 & 0\\ 0 & 0 & 3 \end{bmatrix}$ $(b) \begin{bmatrix} 1 & 2 & 4\\ 2 & 3 & 6\\ 4 & 6 & 5 \end{bmatrix}$ $(c) \begin{bmatrix} 1 & 2 & 3\\ 0 & 5 & 6\\ 0 & 0 & 4 \end{bmatrix}$ $(d) \begin{bmatrix} 0 & 1 & -1\\ -1 & 0 & 2\\ 1 & -2 & 0 \end{bmatrix}$

Work Step by Step

$(a) \begin{bmatrix} 1 & 0 & 0\\ 0 & 2 & 0\\ 0 & 0 & 3 \end{bmatrix}$ $(b) \begin{bmatrix} 1 & 2 & 4\\ 2 & 3 & 6\\ 4 & 6 & 5 \end{bmatrix}$ $(c) \begin{bmatrix} 1 & 2 & 3\\ 0 & 5 & 6\\ 0 & 0 & 4 \end{bmatrix}$ $(d) \begin{bmatrix} 0 & 1 & -1\\ -1 & 0 & 2\\ 1 & -2 & 0 \end{bmatrix}$
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