Find the following matrix product, if it exists. -6-1 -7 4 9 0 8-2 1 5 - 3 2 0 1 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Matrix Product Evaluation**

**Task:** Find the following matrix product, if it exists.

Given matrices:

\[
\begin{bmatrix}
-6 & -1 & 9 \\
-7 & 0 & 1 \\
4 & 8 & -2
\end{bmatrix}
\quad
\begin{bmatrix}
5 & -3 \\
1 & 2 \\
0 & 0
\end{bmatrix}
\]

**Instructions:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Options:
- **A.** 
\[
\begin{bmatrix}
-6 & -1 & 9 \\
-7 & 0 & 1 \\
4 & 8 & -2
\end{bmatrix}
\quad
\begin{bmatrix}
5 & -3 \\
1 & 2 \\
0 & 0
\end{bmatrix}
= 
\begin{bmatrix}
\quad \boxed{\phantom{0}} \quad
\end{bmatrix} 
\quad \text{(Simplify your answer.)}
\]

- **B.** The product does not exist.
Transcribed Image Text:**Matrix Product Evaluation** **Task:** Find the following matrix product, if it exists. Given matrices: \[ \begin{bmatrix} -6 & -1 & 9 \\ -7 & 0 & 1 \\ 4 & 8 & -2 \end{bmatrix} \quad \begin{bmatrix} 5 & -3 \\ 1 & 2 \\ 0 & 0 \end{bmatrix} \] **Instructions:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Options: - **A.** \[ \begin{bmatrix} -6 & -1 & 9 \\ -7 & 0 & 1 \\ 4 & 8 & -2 \end{bmatrix} \quad \begin{bmatrix} 5 & -3 \\ 1 & 2 \\ 0 & 0 \end{bmatrix} = \begin{bmatrix} \quad \boxed{\phantom{0}} \quad \end{bmatrix} \quad \text{(Simplify your answer.)} \] - **B.** The product does not exist.
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