The Determinant of a Matrix
In order to see that a product has the same sign in both det(A) and det(AT), let's look at a typical product in a 4(4 determinant . One such product is (– 1)3a14a21a32a43. This product is multiplied by (- 1)3 since in three pairs of subscripts the second numbers are in the opposite order as the first numbers. ................
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