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: 57

Answer

$A=\left[\begin{array}{lllll} 0 & a_{12} & a_{13} & a_{14} & a_{15}\\ a_{21} & 0 & a_{23} & a_{24} & a_{25}\\ a_{31} & a_{32} & 0 & a_{34} & a_{35}\\ a_{41} & a_{42} & a_{43} & 0 & a_{45}\\ a_{51} & a_{52} & a_{53} & a_{54} & 0 \end{array}\right]$

Work Step by Step

The elements $A_{ii}$ in a square n$\times$n matrix form the main diagonal. Here, the main diagonal has zero entries: $A=\left[\begin{array}{lllll} 0 & a_{12} & a_{13} & a_{14} & a_{15}\\ a_{21} & 0 & a_{23} & a_{24} & a_{25}\\ a_{31} & a_{32} & 0 & a_{34} & a_{35}\\ a_{41} & a_{42} & a_{43} & 0 & a_{45}\\ a_{51} & a_{52} & a_{53} & a_{54} & 0 \end{array}\right]$
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