Let W(s,t) = F(u(s, t), v(s,t)) where %3D . (1,0) - 7, , (6, -3) -1,...

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Let S : V W and T: U V be linear transformations. (a) Prove that if S and T are both one-to-one, so is S T. (b) Prove that if S and T are both onto, so is S T.
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Let S: V W and T: U V be linear transformations. (a) Prove that if S T is one-to-one, so is T. (b) Prove that if S T is onto, so is S.
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