Suppose U is a finite-dimensional real vector space and T ∈(adsbygoogle = window.adsbygoogle || []).push({});

L(U). Prove that U has a basis consisting of eigenvectors of T if

and only if there is an inner product on U that makes T into a

self-adjoint operator.

The question is, what exactly do they mean by "makes T into a self adjoint

operator?" Is it that there exists an inner product of eigenvectors of T

say <v, v> that allows T to be self adjoint?

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# Making T self adjoint

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