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.

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- Oct 17th 2012, 05:35 AMcassius2020vector subspaces
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. - Oct 17th 2012, 06:53 AMFernandoRevillaRe: vector subspaces