(Solved): [11] Assume that T is the linear transformation that maps the unit disk onto the ellipse as shown ...

[11] Assume that T is the linear transformation that maps the unit disk onto the ellipse as shown in Figure 1 below : (0,1) (1,0) T Figure 1 (0,2) (3,0) (8%) Find the standard matrix of T. Also verify that this standard matrix maps the unit-disk onto the interior of ellipse. (8%) Knowing that area of the unit disk is, determine the area of the ellipse. Justify your Write your answer in exact form. answer.