If `A=[(2, 3),( 1, 2)]` and `I=[(1, 0),( 0, 1)]` , then find `lambda,mu` so that `A^2=lambdaA+muI`

Explanation

To solve for \( \lambda \) and \( \mu \) such that \( A^2 = \lambda A + \mu I \), we will follow these steps:

### Step 1: Calculate \( A^2 \)
Given the matrix \( A = \begin{pmatrix} 2 & 3 \\ 1 & 2 \end{pmatrix} \), we need to compute \( A^2 \) by multiplying \( A \) with itself.

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