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Question: linear algebra please help...

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Linear Algebra. Please help.Show that if α, β E F and U E V is a nonzero vector, then αύ-βν implies that α-β. Æ Prove the equivalent contrapositive statement: If α β then αν First show that αν + (-Æ-0. Then show that αν + (-Æ) 0 is equivalent to αν β Justify every single step by referring to either one of the defining properties of vector space or one of the already proven properties from the Lemma in the Lecture and in the previous homework question.

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