Let `A=[[2,3],[-1,2]]` and `f(x)=x^2 this result of find `A^5`

Explanation

To find \( A^5 \) for the matrix \( A = \begin{bmatrix} 2 & 3 \\ -1 & 2 \end{bmatrix} \), we will follow these steps:

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

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

\[
A^2 = A \cdot A = \begin{bmatrix} 2 & 3 \\ -1 & 2 \end{bmatrix} \cdot \begin{bmatrix} 2 & 3 \\ -1 & 2 \end{bmatrix}
...