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: 3

Answer

Fill the blanks with $6,\ -1,\ -1,\ 12$

Work Step by Step

Subtracting a matrix B adding its additive inverse, -B. To add two matrices of the same dimension, add corresponding elements. Two matrices are equal if they have the same dimension and if corresponding elements, position by position, are equal. --- Subtracting the matrices on the LHS, we have $\left[\begin{array}{ll} 6 & -1\\ -1 & 12 \end{array}\right]=\left[\begin{array}{ll} w & x\\ y & z \end{array}\right]$ Position by position, $w=6, x=-1, y=-1, z=12.$ Fill the blanks with $6,\ -1,\ -1,\ 12$
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