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6. Let A E C, T E B(H). Show that H = {l) : T\u) = X|4) } %3D is a subspace (this is the eigenspace corresponding to A).

6. Let A E C, T E B(H). Show that H = {l) : T\u) = X|4) } %3D is a subspace (this is the eigenspace corresponding to A).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 31EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=Mnn, W is the set...
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6. Let A € C, T E B(H). Show that H = {|4) : T\u) = \|4} } is a subspace (this is the eigenspace corresponding to A).
Transcribed Image Text:6. Let A € C, T E B(H). Show that H = {|4) : T\u) = \|4} } is a subspace (this is the eigenspace corresponding to A).
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