Multiplicative Property of Determinant |
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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