If `A=[{:(3,-5),(-1,2):}]` then find `A^(2)-5A- 4I`.

Explanation

To solve the problem, we need to find \( A^2 - 5A - 4I \) for the matrix \( A = \begin{pmatrix} 3 & -5 \\ -1 & 2 \end{pmatrix} \).

### Step 1: Calculate \( A^2 \)

To find \( A^2 \), we multiply the matrix \( A \) by itself:

\[
A^2 = A \times A = \begin{pmatrix} 3 & -5 \\ -1 & 2 \end{pmatrix} \times \begin{pmatrix} 3 & -5 \\ -1 & 2 \end{pmatrix}
...