Let T : R2 - R3 be the linear transformation whose matrix with respect to standard basis {e1, e2, e3) of R3 is \(\begin{bmatrix} 0 & 0 & 1 \\\ 0 & 1 & 0 \\\ 1 & 0 & 0 \end{bmatrix}\) then T
1
maps the subspace spanned by e1 and e2 into itself
2
has distinct eigenvalues
3
has eigenvectors that span R3
4
has a non-zero null space