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 929: 27

Answer

$ \left[\begin{array}{rrr} -2 & -7 & 7\\ 10 & -2 & 7 \end{array}\right]$

Work Step by Step

1. Check if the matrices have the same dimension. If they don't, the sum/difference is not defined. 2. The sum/difference will be a matrix with the same dimension. 3. Position by position, add/subtract the corresponding entries. --- $\left[\begin{array}{lll} 6 & -9 & 2\\ 4 & 1 & 3 \end{array}\right]+\left[\begin{array}{lll} -8 & 2 & 5\\ 6 & -3 & 4 \end{array}\right]=\qquad$ ... dimensions match, continue $=\left[\begin{array}{lll} 6+(-8) & -9+2 & 2+5\\ 4+6 & 1+(-3) & 3+4 \end{array}\right]$ $=\left[\begin{array}{rrr} -2 & -7 & 7\\ 10 & -2 & 7 \end{array}\right]$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.