Let P denote a matrix whose columns are eigenvectors K1, K2 … Kn corresponding to distinct eigenvalues λ1, λ2,…, λn of an n × n matrix A. Then it can be shown that A = PDP–1, where D is a diagonal matrix defined by
In Problems 19 and 20 verify the foregoing result for the given matrix.
19.
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Chapter 8 Solutions
First Course in Differential Equations (Instructor's)
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