Where f: V W is linear, suppose that f(1) = 1, . . . , f(n)
Question:
(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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a Yes The set of s cannot be linearly independent if the set of s is linearly d...View the full answer
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