College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 5 - Section 5.7 - Properties of Matrices - 5.7 Exercises - Page 554: 27

Answer

$\begin{bmatrix} -6 &8\\4&2\end{bmatrix} $

Work Step by Step

Two matrices can be subtracted together if they have the same dimensions. The subtraction is done by simplify substracting each element of the subtrahend from the corresponding element of the minuend. Thus, we have: $\begin{bmatrix} -6 & 8\\0&0\end{bmatrix} -\begin{bmatrix} 0 &0\\-4&-2\end{bmatrix} =\begin{bmatrix} -6-0&8-0\\0-(-4)&0-(-2)\end{bmatrix} =\begin{bmatrix} -6 &8\\4&2\end{bmatrix} $ Therefore, the difference of two matrices is: $\begin{bmatrix} -6 &8\\4&2\end{bmatrix}.$
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