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Apr 30, 2013 at 13:14 comment added Zeyu I apologize but as pointed out by Andreas in the comment the original question has a typo (fixed now). The complement of $X$ is $\bigl\lbrace A\in L(\bC^m\to\bC^n);\;\; Av\neq 0,\;\;\forall v\not\in V\bigr\rbrace\subset L(\bC^m,\bC^n)$.
Apr 30, 2013 at 12:37 history answered Liviu Nicolaescu CC BY-SA 3.0