Let W = span {1,i,1+i,1-i} over R. Find the smallest generating set for W ? I don't understand how to solve this question. Is there some particular way for finding the smallest generating set? Please Help.
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In other words, find a set such that and for any proper subset of . Hint for this question: What is ?
I believe the span of {1,i} is C(R). But i don't understand how that helps ?
The point is that is as big as it can be – so adding more elements to the spanning set won’t make a difference.
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