Gram-Schmidt process
Sign in to saveAlso known as Gram–Schmidt process, Gram-Schmidt orthonormalization, Gram–Schmidt orthonormalization, Gram–Schmidt method, Gram-Schmidt
method for orthonormalising a set of vectors
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Article
The first two steps of the Gram–Schmidt process In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process or Gram-Schmidt algorithm is a way of finding a set of two or more vectors that are perpendicular to each other.
By technical definition, it is a method of constructing an orthonormal basis from a set of vectors in an inner product space, most commonly the Euclidean space
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scalar product
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tensor
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Gaussian elimination
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basis
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linear independence
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rank
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affine space
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elementary matrix
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projection
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orthonormal basis
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Householder transformation
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orthonormality
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orthogonalization
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definite matrix
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mathematics
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quantum mechanics
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International Standard Book Number
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linear algebra
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Pierre-Simon Laplace
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Euclidean vector
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