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 917: 2

Answer

a) The order of the matrix is $2\times 3$. b) The identification of the element ${{a}_{32}}$ is not possible because of ${{a}_{23}}=\frac{1}{2}$.

Work Step by Step

(a) Since this matrix has two rows and three columns, therefore the order of the matrix is $2\times 3$. The order of the matrix $A$ is $2\times 3$. (b) The notation ${{a}_{23}}$ stands for the element present in the second row and third column of the given matrix. Therefore ${{a}_{23}}=\frac{1}{2}$ Since there are only two rows, therefore, the element ${{a}_{32}}$ present in the third row can never be identified. Hence, the identification of the element ${{a}_{32}}$ is not possible because of ${{a}_{23}}=\frac{1}{2}$.
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