Question: Give an example of a vector space V along two subspaces U_1 and U_2. Plug these spaces into the equation in the theorem and confirm

Give an example of a vector space V along two subspaces U_1 and U_2. Plug these spaces into the equation in the theorem and confirm both sides of the equation are the same.


If U and U are subspaces of a finite-dimensional vector space, then

If U and U are subspaces of a finite-dimensional vector space, then dim(U+U) = dim U + dim U - dim(UU).

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