$($c$)$ find the eigenvalues and eigenvectors.

$($d$)$ Start with the approximate eigenvector $(1,1,1)$ and use the power method to estimate the dominant

eigenvalue by iterating $4$ times.

$($e$)$ Use the power method to find the smallest absolute eigenvalue of $A.$

$($f$)$ Write a program which applies the power method to a given matrix in $($d$)$ and $($e$)$ above.

please solve for eigenvectors my eigenvalues are $-3,5$ and $6$ go into detail whilst continuing to solve the problems