For each of the following linear transformations of the plane R, determine where the transformation sends e, and e, writing your answers as linear combinations of e, and e. Enter exact values, not decimal approximations. (A) A horizontal shear that transforms e into e + 5e (leaving e unchanged). e e e (B) Rotation of the plane counter-clockwise about the origin by radians, e+ e e+ e e+ e+ e2 (C) Reflection of the plane through the line y=-x. e+ e+ S 2 e2 e2 (D) The composite linear transformation T that first performs (A), then performs (B), and finally performs (C). e e e e What is the standard matrix for T? e+ e+