With given Eigenvalues λ = 6, -2, 2, 1, - 7 and with given Eigenvectors 5 * 5 matrix given below respectively
1 0 1 2 -1
2 2 1 0 2
3 0 1 2 -3
4 3 1 0 4
5 1 1 3 -5
1) Find inverse power method on (A-1)
2) Shifted inverse power method on (A - CI)-1
Write Matlab script on both the methods.
Inverse operations on a matrix are investigated.