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

ISBN: 9780130084514 53

## Solution for problem 10 Chapter 7.3

Linear Algebra | 4th Edition

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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.

Step-by-Step Solution:
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Page 1 of 3 Panel 2 Panel 4 11/19/2015 : NoPanel 1NEAR ALGEBRA (Session) Panel 3 yw2jw Page 2 of 3 Panel 6 Panel 8 11/19/2015 : NoPanel 5NEAR ALGEBRA (Session) Panel 7 yw2jw

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Step 3 of 3

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