Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question
Let T : V → V be an operator with V a f.d.i.p.s. Show that λ is an eigenvalue of T if and only if X is an eigenvalue of T*. Why does this implies that real symmetric matrices has a real eigenvalue?
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Transcribed Image Text:Let T : V → V be an operator with V a f.d.i.p.s. Show that λ is an eigenvalue of T if and only if X is an eigenvalue of T*. Why does this implies that real symmetric matrices has a real eigenvalue?
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