Math / Linear Algebra 4 / Chapter 5.2 / Problem 22

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

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

Chapter 5, Problem 22

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Let T be a linear operator on a finite-dimensional vector space V, and suppose that the distinct eigenvalues of T are Ai, A2,. - -, Afc. Prove that span({x G V: x is an eigenvector of T}) = EAX EA2 EAfc.

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

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