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A normal operator that is not self-adjoint

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f23 math 307 quiz 11 problem 02
We define what it means for an operator to be normal and then show that an operator, whose matrix with respect to an orthonormal basis is given, is normal and not self-adjoint.
We define what it means for an operator to be normal and then show that an operator, whose matrix with respect to an orthonormal basis is given, is normal and not self-adjoint.