Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 2 - Matrices and Systems of Linear Equations - 2.1 Matrices: Definitions and Notation - Problems - Page 122: 21

Answer

One example is $\begin{bmatrix} 1&0&0\\ 0&2&0\\ 0&0&3 \end{bmatrix}$

Work Step by Step

Diagonal matrix is a square matrix in which all its non diagonal elements are zero. There will be 3 rows and 3 columns in a 3×3 matrix. An example for a 3×3 diagonal matrix is $\begin{bmatrix} 1&0&0\\ 0&2&0\\ 0&0&3 \end{bmatrix}$.
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