Let T:V→WT: V \to WT:V→W be a linear transformation. Which statement is generally NOT true?
T(0V)=0WT(0_V) = 0_WT(0V)=0W
T(c1v1+c2v2)=c1T(v1)+c2T(v2)T(c_1 v_1 + c_2 v_2) = c_1 T(v_1) + c_2 T(v_2)T(c1v1+c2v2)=c1T(v1)+c2T(v2)
The image of a subspace of VVV is a subspace of WWW.
If {v1,v2}\{v_1, v_2\}{v1,v2} is linearly independent, then {T(v1),T(v2)}\{T(v_1), T(v_2)\}{T(v1),T(v2)} is linearly independent.