problems4.3 - Math 307 Problems for section 4.3 1 The matrix 6 1 A = 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

problems4.3 - Math 307 Problems for section 4.3 1 The...

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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.

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