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Test1 - Math 332 – Test 1 – Chapters 2 Printed Name...

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Unformatted text preview: Math 332 – Test 1 – Chapters 2 Printed Name: Calculators are allowed on this test...neighbors are not ! Round answers (where appropriate) to 4 places after the decimal. Grade of 100 1 Let V and W be a vector spaces over a common scalar set F and S = { u 1 ,u 2 ,...,u n } ⊆ V . Suppose that T : V → W is a function. Provide :::::: careful definitions for the following concepts. A 7 pts Define Span( S ) . ............................................................................................................................ B 7 pts The set S is independent if... ............................................................................................................................ C 7 pts We say T is a linear transformation if... ............................................................................................................................ D 7 pts We say that T is surjective (onto) if......
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