Let T:R2→R3 be defined by T([x1x2])=⎣⎡x2x1+x2x2⎦⎤ Let B={[12],[31]} and B′=⎩⎨⎧⎣⎡100⎦⎤,⎣⎡110⎦⎤,⎣⎡111⎦⎤⎭⎬⎫ be bases for R2 and R3, respectively. (a) Compute MT(B,B′), the matrix of T with respect to the bases B and B′. (b) Let v=[−3−2]. Find T(v) two ways. First directly using the definition of T and second by using the matrix you found in part (a)
