Estimate the highest eigenvalue and its corresponding eigenvector of the following matrix by using 3 iterations of the Power Method

[ 12 -4 -2 ]
A = [ 19 -19 -10]
[ -35 52 27]

starting with an initial guess xo = (0,0,1)ᵀ. Also, compute the largest eigenvalue using Matlab's built-in procedure for finding eigenvalues of a matrix.