a) Find the image of in the following way:

Let X be the column matrix . Calculate MX .....

b) If you operate on an object with a linear transformation, the area of the image is the original area multiplied by the determinant of the matrix of the linear transformation.

Consider the circle of radius r = 1. The area of this circle is pi.

Transform this circle into an ellipse of major and minor axes 2a and 2b. Then the area of this ellipse is pi det(M) = pi ab ......