Question

Add matrix M and matrix N
(12). (8)
M=(4). N=(7)
(-9). (2)

Answer 1

To add the matrices \( M \) and \( N \), you simply add the corresponding elements from each matrix.

Given:
\[
M = \begin{pmatrix}
12 & 4 \\
-9 & 0
\end{pmatrix}, \quad N = \begin{pmatrix}
8 & 7 \\
2 & 0
\end{pmatrix}
\]

Now, we add them element-wise:

1. First element (top left):
\[
12 + 8 = 20
\]

2. Second element (top right):
\[
4 + 7 = 11
\]

3. Third element (bottom left):
\[
-9 + 2 = -7
\]

4. Fourth element (bottom right):
\[
0 + 0 = 0
\]

Putting it all together, the resulting matrix \( M + N \) is:
\[
M + N = \begin{pmatrix}
20 & 11 \\
-7 & 0
\end{pmatrix}
\]

So, the final result is:
\[
\begin{pmatrix}
20 & 11 \\
-7 & 0
\end{pmatrix}
\]