Suppose A is an 4 x 4 matrix with the eigenvalues 8 6 5 and

Suppose A is an 4 x 4 matrix with the eigenvalues -8, -6, 5, and 1. Suppose you apply the following iterative algorithm: and choose sigma = 4. Assuming that the algorithm converges on an eigenvector, which eigenvalue of A is associated with that eigenvector?

Solution

since all eigen values are different , eigen vectors are conveges to corresponding eigen values