problems4.3 - Math 307: Problems for section 4.3 November...

Math 307: Problems for section 4.3
November 14, 2012
1. The matrix
A =






6 1 2 2 1
1 5 2 1 2
2 2 3 1 2
2 1 1 3 2
1 2 2 2 3






has positive eigenvalues. Use the power method to find the largest and the smallest
ones, and the corresponding eigenvectors. Check whether the two eigenvectors you have
computed are orthogonal.