linalg[basis] - find a basis for a vector space
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Calling Sequence
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basis(V, crspace)
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Parameters
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V
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vector, set of vectors or list of vectors, a matrix
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crspace
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(optional) name, either 'rowspace' or 'colspace'
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Description
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If the argument V is a single vector, then this vector is returned as a set {V}.
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If V is a set of vectors, then basis will return a basis for the vector space spanned by those vectors in terms of the original vectors.
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If V is a matrix, then the routine computes a basis of the column space of V if the second optional argument is 'colspace', and it returns a basis of the row space of V if the second argument is 'rowspace'.
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For an ordered basis, use a list of vectors rather than a set.
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A basis for the zero-dimensional space is an empty set or list.
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The command with(linalg,basis) allows the use of the abbreviated form of this command.
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