Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 4 - Section 4.1 - Matrix Addition and Scalar Multiplication - Exercises - Page 241: 58

Answer

$A=\left[\begin{array}{lllll} a_{11} & 0 & 0 & 0 & 0\\ 0 & a_{22} & 0 & 0 & 0\\ 0 & 0 & a_{33} & 0 & 0\\ 0 & 0 & 0 & a_{44} & 0\\ 0 & 0 & 0 & 0 & a_{55} \end{array}\right]$

Work Step by Step

The elements $A_{ii}$ in a square n$\times$n matrix form the main diagonal. $A_{ij}$, when $i\neq j$, are the entries not on the main diagonal. Here, $A=\left[\begin{array}{lllll} a_{11} & 0 & 0 & 0 & 0\\ 0 & a_{22} & 0 & 0 & 0\\ 0 & 0 & a_{33} & 0 & 0\\ 0 & 0 & 0 & a_{44} & 0\\ 0 & 0 & 0 & 0 & a_{55} \end{array}\right]$
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