If `A =[(1,-1),(2,5)]` and `B=[(-2,2),(3,1)]` then find the values BA+2l, where l is the identity matrix.

Explanation

To solve the problem, we need to find the value of \( BA + 2I \), where \( A = \begin{pmatrix} 1 & -1 \\ 2 & 5 \end{pmatrix} \), \( B = \begin{pmatrix} -2 & 2 \\ 3 & 1 \end{pmatrix} \), and \( I \) is the identity matrix.

### Step 1: Calculate the product \( BA \)

To find \( BA \), we multiply matrix \( B \) with matrix \( A \):

\[
BA = \begin{pmatrix} -2 & 2 \\ 3 & 1 \end{pmatrix} \begin{pmatrix} 1 & -1 \\ 2 & 5 \end{pmatrix}
...