Determine if the specified linear transformation is (a) one-to-one and (b) onto Justify each answer. T(x1,x2,x3) = (x1 - 5x + 3X3, Xy - 8x3) (a) Is the linear transformation one-to-one? O A. Tis one-to-one because the column vectors are not scalar multiples of each other. O B. T is not one-to-one because the columns of the standard matrix A are linearly dependent. O C. Tis one-to-one because T(x) = 0 has only the trivial solution. OD. T is not one-to-one because the columns of the standard matrix A are linearly independent. (b) is the linear transformation onto? O A. Tis not onto because the columns of the standard matrix A span R2. OB. Tis onto because the standard matrix A does not have a pivot position for every row. O C. T is not onto because the standard matrix A does not have a pivot position for every row. OD. Tis onto because the columns of the standard matrix A span R?