|Apr11-11, 02:09 PM||#1|
Linear Mapping/ Differential Proof
1. The problem statement, all variables and given/known data
If f: R to Rm is linear, prove that f'(a) exists for all a in R, with dfa= f.
2. Relevant equations
dfa = f'(a)h
3. The attempt at a solution
Not really sure how to prove it. It makes sense to me that dfa = f because if f is linear then it should be equal to a linear mapping.
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