Class 25
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eigenvalues and eigenvectors continued.
(Sections 6.1 and 6.2)
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Examples with linear operators, e.g. on a 'polynomial space'
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Problems:
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See the problems in class 23. They are still relevant. Also, the problems
on assignment 8 are relevant.
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Problem 21, page 364.
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Suppose that \lambda is an eigenvalue of the n by n matrix A with
associated eigenvector x.
Show that the conjugate of \lambda is an eigenvalue of the
conjugate transpose of A, but with a (possibly) different eigenvector.