Let T : V → V be an operator with V a f.d.i.p.s. Show that λ is aneigenvalue of T if and only if X is an eigenvalue of T*. Why does thisimplies that real symmetric matrices has a real eigenvalue?

Given that T:V-->V is an operator with V is a finite dimension inner product space. As V is…

Answered: Let TV → V be an operator with V a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let TV → V be an operator with V a f.d.i.p.s. Show that A is an eigenvalue of T if and only if X is an eigenvalue of T*. Why does this mplies that real symmetric matrices has a real eigenvalue?