Then d 2 i would be a diagonal matrix with 2s along

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Unformatted text preview: st a matrix T such that T−1 A T = D is a diagonal matrix. Assume to the contrary, that such a matrix does exist. Then D = 2 I would be a diagonal matrix with 2’s along the diagonal. Then we have ￿ ￿ T−1 A T = D =⇒ A = T D T−1 = T (2 I) T−1...
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This note was uploaded on 11/30/2011 for the course MATH 366 taught by Professor Edraygoins during the Spring '09 term at Purdue University-West Lafayette.

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