Perform the operation if possible. -2 -1 1 2 1 3 OA. + -2 -1 -2 1 1 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. + 81 -47-6 0 81 0 -4 7 -6 OB. The operation is not defined. ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Matrix Addition Problem**

Perform the operation if possible.

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

---

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

- **A.** 
\[
\begin{bmatrix}
-2 & -1 & -2 \\
1 & 1 & 3
\end{bmatrix}
+
\begin{bmatrix}
8 & 1 & 0 \\
-4 & 7 & -6
\end{bmatrix}
=
\boxed{}
\]

- **B.** The operation is not defined.

---

**Explanation:**

- The problem involves determining whether two matrices of the same dimensions can be added together.
- Matrix addition is only possible when the matrices have the same number of rows and columns.
- Here, both matrices are 2x3, so addition is possible.
- By adding corresponding elements, you find the resultant matrix.
Transcribed Image Text:**Matrix Addition Problem** Perform the operation if possible. \[ \begin{bmatrix} -2 & -1 & -2 \\ 1 & 1 & 3 \end{bmatrix} + \begin{bmatrix} 8 & 1 & 0 \\ -4 & 7 & -6 \end{bmatrix} \] --- Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - **A.** \[ \begin{bmatrix} -2 & -1 & -2 \\ 1 & 1 & 3 \end{bmatrix} + \begin{bmatrix} 8 & 1 & 0 \\ -4 & 7 & -6 \end{bmatrix} = \boxed{} \] - **B.** The operation is not defined. --- **Explanation:** - The problem involves determining whether two matrices of the same dimensions can be added together. - Matrix addition is only possible when the matrices have the same number of rows and columns. - Here, both matrices are 2x3, so addition is possible. - By adding corresponding elements, you find the resultant matrix.
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