Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.4 - The Algebra of Matrices - 10.4 Exercises - Page 722: 56

Answer

$\displaystyle \left[\begin{array}{ll} 4690 & 1690 & 13210\\ \end{array}\right]$ 4690 dollars in revenue for Santa Monica 1690 dollars in revenue for Long Beach 9000 dollars in revenue for Anaheim

Work Step by Step

$A=\displaystyle \left[\begin{array}{ll} 4000 & 1000 & 3500\\ 400& 300 & 200\\ 700 & 500 & 9000 \end{array}\right]$ $B = \displaystyle \left[\begin{array}{ll} 0.90 & 0.80 & 1.10\\ \end{array}\right]$ Find the product matrix BA $=\displaystyle \left[\begin{array}{ll} 4000 * 0.90 + 400 * 0.80 + 700 * 1.10\\ 1000 * 0.90 + 300 * 0.80 + 500 * 1.10\\ 3500 * 0.90 + 200 * 0.80 + 9000 * 1.10 \end{array}\right]$ $=\displaystyle \left[\begin{array}{ll} 4690 & 1690 & 13210\\ \end{array}\right]$ 4690 dollars in revenue for Santa Monica 1690 dollars in revenue for Long Beach 9000 dollars in revenue for Anaheim
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.