If `A=[(4, 2),(-1, 1)]` , prove that `(A-2I)(A-3I)=0` .

Explanation

To prove that \((A - 2I)(A - 3I) = 0\) for the matrix \(A = \begin{pmatrix} 4 & 2 \\ -1 & 1 \end{pmatrix}\), we will follow these steps:

### Step 1: Calculate \(A - 2I\)

The identity matrix \(I\) for a \(2 \times 2\) matrix is given by:
\[ I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \]
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