This macro calculates the determinant of a matrix by finding its LU decomposition. In other words, by transforming a matrix to a product of a lower (L) and an upper (U) triangular matrix, the determinant can be expressed as the product of the diagonal elements of both matrices.
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Suppose you want to calculate the determinant of a matrix stored in M1. You want to store the upper and lower triangular matrices in M2 and M3, respectively. To run the macro, chooseand type:
%DETERMAT M1; STORE M2 M3.
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