Let A = 5 2 2 2 1 2 3 4 2 (a) Verify that 1 = 4 is an eigenvalue of A and y1 = (2,2, 1)T
Chapter 7, Problem 5(choose chapter or problem)
Let A = 5 2 2 2 1 2 3 4 2 (a) Verify that 1 = 4 is an eigenvalue of A and y1 = (2,2, 1)T is an eigenvector belonging to 1. (b) Find a Householder transformation H such that HAH is of the form 4 0 0 (c) Compute HAH and find the remaining eigenvalues of A.
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