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: 21

Answer

\[ \begin{bmatrix} -8 & 0 \\ 0 & -8 \end{bmatrix} \]

Work Step by Step

\[ \begin{bmatrix} 0 & 2 \\ -4 & 0 \end{bmatrix} \cdot \begin{bmatrix} 0 & 2 \\ -4 & 0 \end{bmatrix} = \begin{bmatrix} (0 \cdot 0) + (2 \cdot (-4)) & (0 \cdot 2) + (2 \cdot 0) \\ (-4 \cdot 0) + (0 \cdot (-4)) & (-4 \cdot 2) + (0 \cdot 0) \end{bmatrix} \] \[ = \begin{bmatrix} 0 - 8 & 0 + 0 \\ 0 + 0 & -8 + 0 \end{bmatrix} \] \[ = \begin{bmatrix} -8 & 0 \\ 0 & -8 \end{bmatrix} \]
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