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linalg[ffgausselim] - fraction-free Gaussian elimination on a matrix
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Calling Sequence
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ffgausselim(A)
ffgausselim(A, 'r')
ffgausselim(A, 'r', 'd')
ffgausselim(A, rmar)
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Parameters
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A
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rectangular matrix
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'r'
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(optional) for returning the rank of A
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'd'
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(optional) for returning the determinant of A
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rmar
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(optional) non-negative integer
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Description
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Fraction-free Gaussian elimination with row pivoting is performed on A, an n by m matrix of multivariate polynomials over the rationals. The result is an upper triangular matrix of multivariate polynomials.
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If an optional second parameter is specified, and it is a name, it is assigned the rank of A. The rank of A is the number of non-zero rows in the resulting matrix.
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If an optional third parameter is also specified, and the rank of A = n, then it is assigned the determinant of  .
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If an optional second parameter is specified, and it is an integer, the elimination is terminated at this column position.
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The command with(linalg,ffgausselim) allows the use of the abbreviated form of this command.
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