5. In this problem, the transformations R, D, and T are all linear transformations from R2 to R2. You do not need to verify their linearity. (a) Let R be the transformation that reects elements of R2 across the line y : 3:. Let D be the transformation that scales the vertical direction by 2/3 and scales the horizontal direction by 3/2. Find the matrix representations of R and D. (b) Let T be given by T( [(1)] ) = [37:] and T( [ii ) = [34]. Find the matrix representation of T using the structure theorem. (0) The transformation T can be decomposed into basic transformations. Namely, it is the dilation D, followed by a shear S, and lastly the reection R. Find the matrix for the shear S. The transformations R and D are those from part (a)