2. Consider a matrix A with eigenvalues $\lambda_1 = 2$, $\lambda_2 = 3$ and $\lambda_3 = 5$.
Determine the eigenvalues of $A^2$ and $A^3$.
The eigenvalues of $A^2$: 4, 9, 25
$A^3$: 4, 9, 25
The eigenvalues of $A^2$: 4, 9, 25,
$A^3$: 8, 27, 125
The eigenvalues of $A^2$: 2, 3, 5,
$A^3$: 2, 3, 5
The eigen values of $A^2$: 4, 6, 10,
$A^3$: 6, 9, 15