Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 12 - Matrices - 12-2 Matrix Multiplication - Practice and Problem-Solving Exercises - Page 777: 23

Answer

\[ \begin{bmatrix} 34 & 0 \end{bmatrix} \]

Work Step by Step

\[ \begin{bmatrix} -3 & 5 \end{bmatrix} \cdot \begin{bmatrix} -3 & 0 \\ 5 & 0 \end{bmatrix} = \begin{bmatrix} (-3 \cdot (-3)) + (5 \cdot 5) & (-3 \cdot 0) + (5 \cdot 0) \end{bmatrix} \] \[ = \begin{bmatrix} 9 + 25 & 0 + 0 \end{bmatrix} \] \[ = \begin{bmatrix} 34 & 0 \end{bmatrix} \]
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