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#1 2007-04-30 14:19:56

quackensack
Member
Registered: 2007-02-27
Posts: 47

Linear algebra question

If anyone could explain how the following problem on linear transformations is done, it would be greatly appreciated!

There is a theorem that assures us that if L: V->W is a linear transformation, then L(av_1 + bv_2) = aL(v_1)+bL(v_2), for all v1, v2 in V and all a, b in R. Prove that the converse of this statement is true by considering two cases: first a=b=1 and then b=0.

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