Find the following matrix product, if it exists. 100 0 1 0 0 0 1 -2-5-9 8 4 100 OA. 010 001 -6 0 2-8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. -2-5-9 -6 8 4 = 0 2-8 OB. The product does not exist. ... (Simplify your answer.)

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

Find the following matrix product, if it exists:

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

---

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

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

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