A number associated with a square matrix of numbers. The
determinant of an n x n matrix A is denoted by det(A) or |A| and given by
||par(s) a1ó1 a2s2......ansn
where the sum is taken over all n! permutations
of the integers 1,2,... ,n. par(ó), the parity of
s. is either +1 or -1
depending on whether s is an even permutation or an odd permutation.