Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![## Matrix Operations
### Problem 2: Perform the following operations on matrices.
**(a)**
Subtract the matrices:
\[
\begin{bmatrix}
9 & -5 & 4 \\
7 & 3 & -6 \\
1 & -5 & 4
\end{bmatrix}
-
\begin{bmatrix}
4 & 3 & 8 \\
7 & -2 & -1 \\
9 & 6 & 2
\end{bmatrix}
\]
**(b)**
Multiply and add the matrices:
\[
-5 \cdot
\begin{bmatrix}
3 & -2 \\
8 & 4
\end{bmatrix}
+
2 \cdot
\begin{bmatrix}
9 & -1 \\
-1 & 3
\end{bmatrix}
\]
For (a), calculate each element in the resulting matrix by subtracting corresponding elements from the two matrices.
For (b), first multiply each element in the first matrix by -5, then multiply each element in the second matrix by 2, and finally add the two resulting matrices together.](https://content.bartleby.com/qna-images/question/787e229a-2368-453d-a111-0058be6bb6d9/00b013d4-c358-45d2-81d8-b5c7dbb8e8f7/om902nm_processed.png)
Transcribed Image Text:## Matrix Operations
### Problem 2: Perform the following operations on matrices.
**(a)**
Subtract the matrices:
\[
\begin{bmatrix}
9 & -5 & 4 \\
7 & 3 & -6 \\
1 & -5 & 4
\end{bmatrix}
-
\begin{bmatrix}
4 & 3 & 8 \\
7 & -2 & -1 \\
9 & 6 & 2
\end{bmatrix}
\]
**(b)**
Multiply and add the matrices:
\[
-5 \cdot
\begin{bmatrix}
3 & -2 \\
8 & 4
\end{bmatrix}
+
2 \cdot
\begin{bmatrix}
9 & -1 \\
-1 & 3
\end{bmatrix}
\]
For (a), calculate each element in the resulting matrix by subtracting corresponding elements from the two matrices.
For (b), first multiply each element in the first matrix by -5, then multiply each element in the second matrix by 2, and finally add the two resulting matrices together.
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