Let S : V W and T: U V be linear transformations. (a) Prove that
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(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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a Suppose that S T u 0 Then S T u S Tu 0 Since S is onetoone we mus...View the full answer
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