Dimension Theorem Let U and V be subspaces of Rn. In the case that U V = {0}, we have
Chapter 5, Problem 15(choose chapter or problem)
Dimension Theorem Let U and V be subspaces of Rn. In the case that U V = {0}, we have the following dimension relation dim (U + V) = dim U + dim V (See Exercise 18 in Section 4 of Chapter 3.) Make use of the result from Exercise 14 to prove the more general theorem dim (U + V) = dim U + dim V dim(U V)
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