Suppose U is a finite-dimensional real vector space and T 2 L.U /.Prove that U has a
Chapter 7, Problem 14(choose chapter or problem)
Suppose U is a finite-dimensional real vector space and T 2 L.U /.Prove that U has a basis consisting of eigenvectors of T if and only ifthere is an inner product on U that makes T into a self-adjoint operator.
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