Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The problem is from Linear Algebra Done Right by Axler. Could you teach me how to do this in detail?

Suppose T = L(V) and v € V. (a) Prove that there exists a unique monic polynomial p of smallest degree such that p(T)v = 0. Prove that p divides the minimal polynomial of T. (b)
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Transcribed Image Text:Suppose T = L(V) and v € V. (a) Prove that there exists a unique monic polynomial p of smallest degree such that p(T)v = 0. Prove that p divides the minimal polynomial of T. (b)
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