True or false (and give a proof of your answer): There exists T 2 L.R3/such that T is

Chapter 7, Problem 1

(choose chapter or problem)

True or false (and give a proof of your answer): There exists T 2 L.R3/such that T is not self-adjoint (with respect to the usual inner product)and such that there is a basis of R3 consisting of eigenvectors of T.

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