An important feature of linear transformations T : Rm ) R\" is that T65) = 6 (multiplying a matrix by a vector always gives back a zero vector). 931 992 problem imagine that S represents an image on a computer screen. For a linear transformation T : R2 > R\(b) Now let's imagine S as actually living in 3-d space, 1R3. We are not viewing S as lying on the xy-plane however. Instead let These coordinates are called homogeneous coordinates and are very useful for computer graphics and computer vision. LetT : R3 > R3 by THE) = A5 where 103 A=01b 001 What is the set T(S)? Draw the rst two coordinates of T(S) in R2