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backsub - back substitution in an augmented triangular matrix
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companion - construct the companion matrix for a monic polynomial
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concat - concatenate matrices and/or column vectors together
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ffgausselim - fraction-free Gaussian elimination
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gausselim - changed to do ordinary Gaussian elimination over a field
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GramSchmidt - Gram-Schmidt orthogonalization
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innerprod - the inner product of a sequence of matrices and vectors
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JordanBlock - construct a Jordan block matrix
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linsolve - extended to solve for where is a matrix
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matrix - utility routine for creating a matrix
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minor - utility routine for picking off the 'th minor of a matrix
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randmatrix - utility routine to generate matrices with random entries
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pivot - do a single row elimination step on a matrix
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stack - stack matrices and/or row vectors on top of each other
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vector - utility routine for creating a vector
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rank, rowspace, colspace - generalized to work for rational functions
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eigenvects - The routine has been modified to return a sequence of lists
of the form
where is an eigenvalue, its multiplicity,
and a set of vectors for
the basis for the eigenspace of .
It has also been generalized to
work for a matrix over any algebraic number field.