Using MATLAB or python

7. (15pts) Let A=512122192221215 (a) Apply 10 steps of the Power Method with initial vectors v=(1,1,1)T to estimate the dominant eigenvalue of A. (b) Apply 10 steps of the Inverse Power Method with shift 0 and initial vector v=(1,1,1)T to estimate the eigenvalue closest to zero. Provide a table of iterates for each method's approximation to the eigenvalue