Show that T is a linear transformation by finding a matrix that implements the mapping. Note that $x_1, x_2, \dots$ are not vectors but are entries in vectors.
$T(x_1, x_2, x_3) = (x_1 - 2x_2 + 3x_3, x_2 - 4x_3)$
A = $oxed{}$ (Type an integer or decimal for each matrix element.)