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THE DETERMINANT


Definition: Let A=[aij] be an n x n matrix. The determinant function, denoted by det, is defined by


where the summation is over all permutations j1, j2... jn of the set S = {1, 2, ..., n}. The sign is taken as + or - according to whether the permutation j1, j2, ... jn is even or odd.

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