Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 4 - Section 4.2 - Matrix Multiplication - Exercises - Page 253: 48

Answer

$\left\{\begin{array}{rrrrrrr} x & +y & +6z & +w & =-2\\ x & -5y & & & =9 \end{array}\right.$

Work Step by Step

The product of the two matrices on the LHS is a 2$\times$1 matrix: $\left[\begin{array}{l} 0x+y+6z+w\\ x-5y+0z+0w \end{array}\right].\qquad $Equating it to $\left[\begin{array}{l} -2\\ 9 \end{array}\right]$ leads to the system of equations $\left\{\begin{array}{lllll} x & +y & +6z & +w & =-2\\ x & -5y & & & =9 \end{array}\right.$
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.