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Let T be a linear operator on a finite-dimensional vector space V, and suppose that W is

Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence ISBN: 9780130084514 53

Solution for problem 10 Chapter 7.3

Linear Algebra | 4th Edition

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Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence

Linear Algebra | 4th Edition

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Problem 10

Let T be a linear operator on a finite-dimensional vector space V, and suppose that W is a T-invariant subspace of V. Prove that the minimal polynomial of Tw divides the minimal polynomial of T.

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Chapter 7.3, Problem 10 is Solved
Step 3 of 3

Textbook: Linear Algebra
Edition: 4
Author: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence
ISBN: 9780130084514

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Let T be a linear operator on a finite-dimensional vector space V, and suppose that W is