If `A={:[(12,7),(9,6)]:}andB={:[(8,10),(-2,-5)]:}`, then find (A-B).

Answer

To find the difference between matrices A and B, we will subtract corresponding elements of matrix B from matrix A.

Given:
\[ A = \begin{pmatrix} 12 & 7 \\ 9 & 6 \end{pmatrix} \]
\[ B = \begin{pmatrix} 8 & 10 \\ -2 & -5 \end{pmatrix} \]

We need to calculate \( A - B \).

### Step 1: Subtract the first element of A from the first element of B
\[ A_{11} - B_{11} = 12 - 8 \]
Calculating:
\[ 12 - 8 = 4 \]

### Step 2: Subtract the second element of A from the second element of B
\[ A_{12} - B_{12} = 7 - 10 \]
Calculating:
\[ 7 - 10 = -3 \]

### Step 3: Subtract the third element of A from the third element of B
\[ A_{21} - B_{21} = 9 - (-2) \]
Calculating:
\[ 9 + 2 = 11 \]

### Step 4: Subtract the fourth element of A from the fourth element of B
\[ A_{22} - B_{22} = 6 - (-5) \]
Calculating:
\[ 6 + 5 = 11 \]

### Final Result
Now we can write the resulting matrix:
\[ A - B = \begin{pmatrix} 4 & -3 \\ 11 & 11 \end{pmatrix} \]

### Summary
The result of \( A - B \) is:
\[ \begin{pmatrix} 4 & -3 \\ 11 & 11 \end{pmatrix} \]