A First Course in Linear Algebra · Problem OD.T20

Representations — Robert Beezer

Mathematics — Linear Algebra · coordinatization-orthonormal-basis

Problem

In the discussion following Theorem OBNM we comment that the equation x^=U∗x\hat{\mathbf{x}} = U^*\mathbf{x} is just Theorem COB in disguise. Formulate this observation more formally and prove the equivalence.

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