One may also view the determinant as a function that associates a number to a sequence of n vectors from Rn (see real numbers). |
One may also view the determinant as a function that associates a number to a sequence of n vectors from Rn (see real numbers). |
If f : V -> V is a linear transformation (also called "endomorphism") of a finite dimensional vector space, we may define its determinant det(f) by first picking a basis of V, then representing f as a matrix with respect to that basis, and then computing the determinant of that matrix. This determinant will only depend on f and not depend on the basis chosen. |