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: 58

Answer

$\displaystyle \left[\begin{array}{ll} 105000 & 58000\\ \end{array}\right]$ 105000 oz of 2000 small, 3000 medium, 2500 large, and 1000 giant cans of sauce 58000 oz of 2500 small, 1500 medium, 1000 large, and 500 giant cans of sauce

Work Step by Step

$A=\displaystyle \left[\begin{array}{ll} 6 & 10 & 14 & 28\\ \end{array}\right]$ $B = \displaystyle \left[\begin{array}{ll} 2000 & 2500\\ 3000 & 1500\\ 2500 & 1000\\ 1000 & 500 \end{array}\right]$ Find the product matrix AB $=\displaystyle \left[\begin{array}{ll} 6 * 2000 + 10 * 3000 + 14 * 2500 + 28 * 1000 \\ 6 * 2500 + 10 * 1500 + 14 * 1000 + 28 * 500 \end{array}\right]$ (Note: the above matrix isn't formatted exactly as it is since it would be difficult to read) $=\displaystyle \left[\begin{array}{ll} 105000 & 58000\\ \end{array}\right]$ 105000 oz of 2000 small, 3000 medium, 2500 large, and 1000 giant cans of sauce 58000 oz of 2500 small, 1500 medium, 1000 large, and 500 giant cans of sauce
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