Let T1 : R2 ) R2 denote the reflection through the origin and Tx, y) = (x + y, 23:, x + 1). Suppose S is the transformation obtained from applying T1 followed by T2, namely you first applyr T1 and then T2. (1} Compute the standard matrix of S and use it to find the image of %, %) under S. {2} Let i and E respectiver denote the image of the standard basis 31 and 32 under S. Determine whether or not i and 5 form a basis in R2