Finite Math and Applied Calculus (6th Edition)

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

Chapter 4 - Review - Review Exercises - Page 296: 10

Answer

The expression: "$CD + B$" is undefined.

Work Step by Step

1. Check if the expression is defined For a matrix multiplication ($CD$), the length of the row in the first matrix must be equal to the length of the column in the second one. $C$ row length: $2$ $D$ column length: $2$ Therefore, the expression is defined and the multiplication is possible. $C$ is a $3 \times 2$ matrix, and $D$ is a $2 \times 3$ one. So, the resulting matrix is going to be a $3 \times 3$ For a matrix addition ($CD$ + $B$), the matrices must have the same dimensions: $CD$ is $3 \times 3$ and $B$ is $2 \times 2$. - The expression is undefined and cannot be evaluated:
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