That is not a good idea.

is a basis of so, we can express uniquely . Solving, you'll obtain . Now, use the linearity ofHere's the problem: Let L: such that: L(1 -1) = (2 1 3) AND L(-2 3) = (-1 0 -1) a) Determine Lx

Use the characterization: is one to one iff .b) Determine if L is one-to-one.