Show that if an n x n matrix U satisfies (Ux) (Uy) = xy for all

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Show that if an n x n matrix U satisfies (Ux) · (Uy) = x·y for all x and y in Rn, then U is an orthogonal matrix.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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