Let T be the linear transformation from R2 to R3 which is the composition of the following three transformations (in order): . : 2 Si : R2 + R2 dilates a vector by a factor of 4; S2 : R + R rotates vectors by an angle of ; + R3 does the following: S3(x, y) (x 2y, y, x + y). . Sz : R2 : - (a) Find the standard matrix for the linear transformation T. (b) Find the image of the vector v - (1,2). (c) Find the kernel of the linear transformation T