# Test1 - Math 332 Test 1 Printed Name Please carefully work...

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Math 332 – Test 1 Printed Name: Please carefully work all of the following problem(s). You must SHOW YOUR WORK to receive ANY credit! 1 Please answer the following questions. A 7 pts [1] Let f : X Y be a function. Using set-builder notation, deﬁne Range ( f ). B 7 pts [1] Suppose V and W are vector spaces with scalar set F . Let f : V W be a function. We say that f is a linear map or linear transformation if. ... C 7 pts [1] Suppose V and W are vector spaces with scalar set F . Let T : V W be a linear map. Deﬁne Ker( T ) using set-builder notation. D 7 pts [1] Let V be a vector space with scalar set F . Let S = { ~u 1 ,...,~u n } ⊂ V . We say that S is linearly dependent if. ... E 7 pts [1] Let V be a vector space with scalar set F . Let S = { ~u 1 ,...,~u n } ⊂ V . Carefully deﬁne Span( S ) using set-builder notation. Dr. Emmert Spring 2010 I of IV Points Earned of 35

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Math 332 – Test 1 2 15 pts [4] Please carefully answer one of the following two statements A Grade
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Test1 - Math 332 Test 1 Printed Name Please carefully work...

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