Let the linear mapping T have the equation y = Cx. For general x, find the angle between x...

Let the linear mapping T have the equation y = Cx. For general x, find the angle between x and T(x) = y, as vectors in V2, and also compare |x| and | T(x)|. From these results, interpret T geometrically. [Hint: Consider x as and y as where O is the origin of E2 and P and Q are points of E2.]