The determinant of a square matrix A_(n) is a function (actually a polynomial function) of the elements a_ij of A.

She had her hand in the cookie jar throughout her term of office.

The exterior product between a multivector of grade k and a multivector of grade n is commutative if k times n is even and anti-commutative if k times n is odd. (This is related to what is meant when it is said that the exterior product is alternating. It means that a permutation of the factors of a wedge product of vectors changes the sign of the product if and only if the permutation is odd.)

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