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 - Exercise Set - Page 919: 67


Equal matrices have the same order and the same corresponding elements.

Work Step by Step

Consider two matrices A and B. $A=\left[ {{a}_{ij}} \right]$ and $B=\left[ {{b}_{ij}} \right]$ are said to be equal if and only if both matrices have the same order and A element is equivalent to every corresponding element of B; that is, ${{a}_{ij}}={{b}_{ij}}$ for all i and j. The order of the matrix means the number of rows and columns in the matrix. Example: Consider two matrices $\left[ \begin{matrix} k & l \\ m & n \\ \end{matrix} \right]$ and $\left[ \begin{matrix} k & l \\ m & n \\ \end{matrix} \right]$ The above matrices are said to be equal as both matrices are of the order $2\times 2$ and ${{a}_{ij}}={{b}_{ij}}$ for $1\le i\le 2$, $1\le j\le 2$.
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