I have a vector space A, with B and C are the two subspaces of A. I need to disprove that dim(B+C)=dim(B)+dim(C) I know the correct formula should be dim(B+C)=dim(B)+dim(C) - dim(B intersect C) need to find a counterexample, but am struggling.
Last edited by cassius2020; Oct 17th 2012 at 07:04 AM.
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Originally Posted by cassius2020 I have a vector space A, with B and C are the two subspaces of A. I need to disprove that dim(B+C)=dim(B)+dim(C) Choose, for example, .
Last edited by FernandoRevilla; Oct 17th 2012 at 08:02 AM.
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