For the matrix of Exercise 6.5, apply the power method using shifts of 1/2 and −1/2. How effective are they? Are there other shifts that may work better? Try them. For the matrix of Exercise 6.5,...

For the matrix of Exercise 6.5, apply the power method using shifts of 1/2 and −1/2. How effective are they? Are there other shifts that may work better? Try them.

For the matrix of Exercise 6.5, apply the orthogonal iteration method and find the three largest eigenvalues and their vectors.