Question: Prob 1. Let T be a selfadjoint operator on a nitedimensional inner product space (real or complex) such that A1, A2, A3 6 1R are

Prob 1. Let T be a selfadjoint operator on a nitedimensional inner product space (real or complex) such that A1, A2, A3 6 1R are the only eigenvalues of T. Prove that MT) 2 0 Where p()\\) :=()\\7 A1)()\\7 A2)()\\7 A3). Give a counterexample to this statement for an operator which is not selfadjoint

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