Multiplicative Property of Determinant

            Multiplicative Property

Let A be a matrix and of all the elements of row/column of A are multiplied by a to get a matrix B , then det(B) = a det(A).

For a  matrix ,

                        A = [u,v] ,

det(A) is the area of the parallelogram with sides u  and v .

The following applet demonstrates this property. You can click on any two points on the panel to get arbitrary vector                        

Then , det[u,v] = Area(u,v) - Area(OACB) , you  can change the values of a, b by moving the sliders.

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