If p(f) = c0 + c1t + c2t2 +... + Cn1n, define p(A) to be the matrix

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If p(f) = c0 + c1t + c2t2 +... + Cn1n, define p(A) to be the matrix formed by replacing each power of t in p(t) by the corresponding power of A (with A0 = 1). That is,

Show that if A is an eigenvalue of A, then one eigenvalue of p(A) is p(Î»).

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Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

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Question Posted: May 02, 2016 12:09 PM

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If p(f) = c0 + c1t + c2t2 +... + Cn1n, define p(A) to be the matrix

Question:

p(A) = col + C, + C2A? + ...+ Cn A" %3D

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Suppose Ax x with x ...View the full answer

Linear Algebra and Its Applications

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