Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 3 Linear Systems and Matrices - 3.6 Multiplying Matrices - Guided Practice for Example 4 - Page 198: 7

Answer

The cost of equipment for the women’s team is 1890, and the total cost for the men’s team is 2125.

Work Step by Step

According to the example, the cost would then be: $\begin{bmatrix} 14&30&18\\ 16&25&20 \end{bmatrix}\begin{bmatrix} 75\\ 1\\ 45 \end{bmatrix}=\begin{bmatrix} 14\cdot75+30\cdot1+18\cdot45\\ 16\cdot75+25\cdot1+20\cdot45 \end{bmatrix}=\begin{bmatrix} 1890\\ 2125 \end{bmatrix}$ Thus the cost of equipment for the women’s team is 1890, and the total cost for the men’s team is 2125.
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