Set A = magic(4) and t = trace(A). The scalar t should be an eigenvalue of A and the
Chapter 7, Problem 7(choose chapter or problem)
Set A = magic(4) and t = trace(A). The scalar t should be an eigenvalue of A and the remaining eigenvalues should add up to zero. Why? Explain. Use MATLAB to verify that At I is singular. Compute the eigenvalues of A and a matrix X of eigenvectors. Determine the condition numbers of A and X. Is the eigenvalue problem well conditioned? Explain. Perturb A by setting A1 = A + 1.0e04 rand(4) How do the eigenvalues of A1 compare to those of A?
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