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Linear Algebra and the C Language/a0lg
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Orthonormal basis:
An orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors....
Wikipedia: Orthogonal matrix
Some properties
Orthonormal basis:
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Compute x in the B basis :
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Proj(x) = A inv(AT A) AT = A inv(ID) AT = A AT:
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Orthonormal matrices preserve lengths:
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Orthonormal matrices preserve angles:
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Orthonormal matrices preserve the dot product:
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