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: 24

Answer

$\begin{bmatrix} 13 &-13\\7&7\\-7&14\end{bmatrix} $

Work Step by Step

Add the corresponding elements to obtain: $\begin{bmatrix} 4 & -3\\7&2\\-6&8\end{bmatrix} +\begin{bmatrix} 9 &-10\\0&5\\-1&6\end{bmatrix} =\begin{bmatrix} 4+9&-3-10\\7+0&2+5\\-6-1&8+6\end{bmatrix} =\begin{bmatrix} 13 &-13\\7&7\\-7&14\end{bmatrix} $ Therefore, the sum of two matrices is: $\begin{bmatrix} 13 &-13\\7&7\\-7&14\end{bmatrix}.$
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