Where f: V W is linear, suppose that f(1) = 1, . . . , f(n)

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Where f: V → W is linear, suppose that f(1) = 1, . . . , f(n) = n for some vectors 1, . . . , n from W.
(a) If the set of 's is independent, must the set of  's also be independent?
(b) If the set of 's is independent, must the set of 's also be independent?
(c) If the set of 's spans W, must the set of 's span V?
(d) If the set of 's spans V, must the set of 's span W?
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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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