7. Suppose S is a normal operator on a finite-dimensional complex inner product space, all of whoseeigenvalues are real. Prove that S is self-adjoint.

If V be a complex inner product space and S is a a normal operator on V then SS*=S*S A operator S is…

Answered: 7. Suppose S is a normal operator on a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 3E: 3. Let be an integral domain with positive characteristic. Prove that all nonzero elements of...

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7. Suppose S is a normal operator on a finite-dimensional complex inner product space, all of whose eigenvalues are real. Prove that S is self-adjoint.