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; October 17th 2012 at 06:04 AM.
Follow Math Help Forum on Facebook and Google+
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; October 17th 2012 at 07:02 AM.
View Tag Cloud