For the matrix `A=[[3 ,1],[ 7, 5]],` find `x` and `y` sot that `A^2+x I+y Adot=0` Hence, Find `A^(-1)dot`

Explanation

To solve the problem, we need to find values of \( x \) and \( y \) such that:

\[ A^2 + xI + yA = 0 \]

where \( A = \begin{bmatrix} 3 & 1 \\ 7 & 5 \end{bmatrix} \) and \( I \) is the identity matrix.

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