Linear Algebra - Isometries, Unitary Operators, and Matrix Factorizations

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Hi, I think you overlooked that we already proved the equivalence of a map being an isometry < = > *columns* of matrix wrt orthonormal basis are orthonormal, but for the unitary operators we want to prove that the *rows* are orthonormal. So we do have something to prove for d=> e. Thanks a lot for the content!

colecitrenbaum