Find `A+B if A = [(2,5),(3,6)] and B = [ (7,9),(6,5)]`

Explanation

To find the sum of matrices \( A \) and \( B \), we will add the corresponding elements of each matrix.

Given:
\[ A = \begin{pmatrix} 2 & 5 \\ 3 & 6 \end{pmatrix}, \quad B = \begin{pmatrix} 7 & 9 \\ 6 & 5 \end{pmatrix} \]

### Step 1: Add the elements in the first row
- First element: \( 2 + 7 = 9 \)
- Second element: \( 5 + 9 = 14 \)

So, the first row of \( A + B \) is:
\[ \begin{pmatrix} 9 & 14 \end{pmatrix} \]

### Step 2: Add the elements in the second row
- First element: \( 3 + 6 = 9 \)
- Second element: \( 6 + 5 = 11 \)

So, the second row of \( A + B \) is:
\[ \begin{pmatrix} 9 & 11 \end{pmatrix} \]

### Step 3: Combine the results
Now, we can combine the two rows to form the resulting matrix:
\[ A + B = \begin{pmatrix} 9 & 14 \\ 9 & 11 \end{pmatrix} \]

Thus, the final result is:
\[ A + B = \begin{pmatrix} 9 & 14 \\ 9 & 11 \end{pmatrix} \]

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