Khan Academy: Linear Algebra: Determinant as Scaling Factor

Video demonstrating that the area of a parallelogram that is the image of a rectangle under a transformation is equivalent to the absolute value of the determinant of the matrix whose column vectors generate the parallelogram. Includes visual representations of the original rectangle and its image. Generalizes the idea to state that the determinant of a transformation matrix is a scaling factor for the area of a region and its image. [20:09]