Determine if the linear transformation T : P2 -> M22 is (a) injective, (b) surjective,(c) invertible.

A <- matrix(c(1, -1, 2, 3, 2, 1, 2, 2, -2, -4, 0, 2), 3, 4)
pracma::rref(A)
##      [,1] [,2] [,3] [,4]
## [1,]    1    0    0 -2.8
## [2,]    0    1    0  1.6
## [3,]    0    0    1 -3.0