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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
10
votes
Injectivity implies surjectivity
Regarding the "general framework" part of your question, if we work in a general category with some notion of "dimension" or "size" and replace "injective" with "monic" then we can rephrase this condi …
5
votes
Fast evaluation of polynomials
EDIT: Looks like I overlooked that the OP stipulated he wants to minimize the total number of additions and multiplications. (Although he said he wanted to do that "to start," so arguably the below i …