Fill in the complete details of the proof of Theorem 5.9. If v1,... , vn form an
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If v1,... , vn form an orthogonal basis, then the corresponding coordinates of a vector
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In this case, its norm can be computed using the formula
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Equation (5.7), along with its orthonormal simplification (5.4), is one of the most useful formulas we shall establish, and applications will appear repeatedly throughout the sequel.
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