(a) Let T : R2 -> R be the transformation that rotates a vector 3 counterclockwise. The transformation matrix for this linear transformation is: 1/2 sqrt(3 [T] = -sqrt(: 1/2 (b) Let S : R -> R be the transformation that reflects a vector in the line y = -X. The transformation matrix for this linear transformation is: 0 [S] = 1 0 (c) The transformation matrix for the composition S . T is: -sqrt( 1/2 [S . T] = 1/2 sqrt(3(d) The transformation matrix for the composition T . S is: sqrt(3 1/2 [T . S] = -1/2 sqrt(3