Show that the matrix `A=[(2, 3), (1, 2)]` satisfies the equation `A^3-4A^2+A=O` .

Explanation

To show that the matrix \( A = \begin{pmatrix} 2 & 3 \\ 1 & 2 \end{pmatrix} \) satisfies the equation \( A^3 - 4A^2 + A = O \) (where \( O \) is the null matrix), we will follow these steps:

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

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

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