Let T : R4 → R4 be a linear transformation defined by T(x, y, z, w) = (x+z+w, -3x + 3y + tz + w, -x + 3y + 9z + 3w, –5x + 3y + 5z - w), i). Find the standard matrix A of the transformation T. ii). Find the basis for the row space of T consisting entirely of row vectors of T. iii). Find the basis for the column space of T consisting entirely of column vectors of T. iv). Find the basis and dimension of null space of T.