Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.3 - Matrix Operations and Their Applications - Concept and Vocabulary Check - Page 917: 8

Answer

If $A$ is of order $m\times n$ and $B$ is of order $n\times p$, then the product $AB$ is an $m\times p$ matrix. To find the product $AB$, it is required that the number of columns in matrix $A$ must be equal to the number of rows in matrix $B$.”

Work Step by Step

Example: If the matrix $A$ is of order $2\times 3$ and $B$ is of order $3\times 5$, then the product matrix $AB$ will be a matrix of order $2\times 5$.
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