If A1, A2, , Ak, is an infinite sequence of n à n matrices, then the sequence
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if and only if
(a) Suppose that A is an n à n diagonalizable matrix. Under what conditions on the eigenvalues of A will the sequence A, A2, . . ., Ak, . . . converge? Explain your reasoning.
(b) What is the limit when your conditions are satisfied?
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0471669593
9th edition
Authors: Howard Anton, Chris Rorres
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