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Asked Mar 5, 2020
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Suppose that ß and y are ordered bases for an n-dimensional real [complex] inner product space V. Prove that if Q is an
orthogonal [unitary] n x n matrix that changes y-coordinates into B-coordinates, then ß is orthonormal if and only if y is
orthonormal.
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Suppose that ß and y are ordered bases for an n-dimensional real [complex] inner product space V. Prove that if Q is an orthogonal [unitary] n x n matrix that changes y-coordinates into B-coordinates, then ß is orthonormal if and only if y is orthonormal.

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