Let V be a finite-dimensional complex inner product vector space, and let T be a normal...

 

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Let V be a finite-dimensional complex inner product vector space, and let T be a normal linear operator on V. Prove that v E V is an eigenvector of T with eigenvalue dEC if and only if v is an eigenvector of T* with eigenvalue A. Let V be a finite-dimensional complex inner product vector space, and let T be a normal linear operator on V. Prove that v E V is an eigenvector of T with eigenvalue dEC if and only if v is an eigenvector of T* with eigenvalue A.

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