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True or False: An n X n matrix A has n linearly independent eigenvectors. Justify your...

True or False: An n X n matrix A has n linearly independent eigenvectors. Justify your answer (explain)

These questions follow the exercises in Chapter 4 of the book, Scientic Computing: An Introduction, by Michael Heath. They study some of the properties of eigenvalues, eigenvectors, and some ways to compute them.

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