16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 8.3.12

Inner Product Spaces

Mathematics — Linear Algebra · self-adjoint-operators

Problem

Let VV be a finite-dimensional complex inner product space, and let TT be a linear operator on VV. Prove that TT is self-adjoint if and only if (Tα∣α)(T\alpha|\alpha) is real for every α\alpha in VV.

Related theory

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