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Is the complement of a linear subspace always a linear subspace?
From Mathematics Is A Science
Revision as of 23:30, 18 November 2010 by imported>WikiSysop
Question: Is the complement of a linear subspace always a linear subspace?
Answer: No, never.
Why: It doesn't even contain the zero element!
What about the union? the intersection ?
What if these questions are asked about groups?