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)

Finite Mathematics Chapter 3 Section 1.1 Operations Identities 0 - Zero Addition/ Subtraction 1 - One Multiplication/ Division Zero is the additive Identity as displayed above. You can add or subtract zero from any number without changing that number's value. One is the multiplicative identity as displayed above. You...