linalg[sylvester] - create Sylvester matrix from two polynomials
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Calling Sequence
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sylvester(p, q, x)
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Parameters
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p, q
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expanded polynomials in the variable x
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x
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variable (name)
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Description
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The call sylvester(p, q, x) returns the Sylvester matrix of the polynomials p and q with respect to x. Note that the determinant of this matrix is equal to .
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If p is of degree m in x and q is of degree n in x then the output is a square matrix of dimension .
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The polynomials p and q must be expanded in x, because the coeff function is used on p and q to determine the entries of the matrix.
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The command with(linalg,sylvester) allows the use of the abbreviated form of this command.
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