Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - 9.7 Properties of Matrices - 9.7 Exercises - Page 928: 4

Answer

Fill the blanks with $-10,\ 2,\ -12,\ 0$

Work Step by Step

The product of a scalar $\mathrm{k}$ and a matrix $\mathrm{X}$ is the matrix $\mathrm{k}\mathrm{X}$, each of whose elements is $\mathrm{k}$ times the corresponding element of $\mathrm{X}.$ Thus, the LHS equals $\left[\begin{array}{ll} -10 & 2\\ -12 & 0 \end{array}\right]$. Two matrices are equal if they have the same dimension and if corresponding elements, position by position, are equal, so $w=-10, x=2, y=-12, z=0.$ Fill the blanks with $-10,\ 2,\ -12,\ 0$
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