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 720: 16

Answer

Column, going from top to bottom: $7, 1, 7$

Work Step by Step

The first matrix is a 3x2 while the second is a 2x1. The rows of the first equal the columns of the second, while the 3x1 will be the dimensions of the product. Take each row of the first matrix and multiply, and add it by the column of the first. $(2\times5)+(-3\times1) = 7$ $(0\times5)+(1\times1) = 1$ $(1\times5)+(2\times1) = 7$
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