a. Let A be a diagonalizable n n matrix. Show that if the multiplicity of an

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a. Let A be a diagonalizable n × n matrix. Show that if the multiplicity of an eigenvalue  λ is n, then A = λI.


b. Use part (a) to show that the matriximageis not diagonalizable.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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