Consider the matrix A below. First, show that A is diagonalizable by computing the geometric multiplicities of

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Consider the matrix A below. First, show that A is diagonalizable by computing the geometric multiplicities of the eigenvalues and quoting the relevant theorem. Second, find a diagonal matrix D and a nonsingular matrix S so that S-1AS = D.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:40 AM

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Consider the matrix A below. First, show that A is diagonalizable by computing the geometric multiplicities of

Question:

18-15 33 -15] -4 8-6 6 -9 916 9 5 -69-4

Step by Step Answer:

Using a calculator we find that A has three distinct eigenvalues 3 2 1 with 2 having algebraic multi...View the full answer

Linear Algebra

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