Question: Let vectors u and v form a basis in some plane. In each of the following cases determine if the vectors e1 and e2 form

Let vectors u and v form a basis in some plane. In each of the following cases determine if the vectors e1 and e2 form a basis in this plane:
a) e1=u+v ; e2=u-v
b) e1=-u+2v ; e2=3u-6v.

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