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linalg[pivot] - pivot about a matrix entry
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Calling Sequence
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pivot(A, i, j)
pivot(A, i, j, r..s)
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Parameters
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A
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matrix
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i, j
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positive integers
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r..s
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range of rows to be pivoted
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Description
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The function pivot pivots the matrix A about A[i, j] which must be non-zero.
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The function pivot(A, i, j) will add multiples of the ith row to every other row in the matrix, with the result that the (k, j)th entry of the matrix A is set to zero for all k not equal to i. That is, the jth column of the matrix will be all zeros, except for the (i, j)th element.
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The call pivot(A, i, j, r..s) acts like pivot(A, i, j) except that only rows r through s are set to zero in the jth column. Rows not in the range r..s are not affected.
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The command with(linalg,pivot) allows the use of the abbreviated form of this command.
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