Question

If T1(x) and T2(x) are onto linear transformations from Rn to
Rm, then so is W(x) = T1(x) + T2(x).
True or False?

Answer 1

I was considering like false, because Consider T2(x) = −T1(x), where T1 is onto. then W would be 0 and w is not onto, am i right?

Answer 2

I was right lol