Question: #2 A Few Proofs Let U and W be subspaces of some vector space V (over a field F). Note: Do not assume V is

#2 A Few Proofs Let U and W be subspaces of

#2 A Few Proofs Let U and W be subspaces of some vector space V (over a field F). Note: Do not assume V is finite dimensional. (a) Show dim(UNW) max{dim(U), dim(W)}. (c) Comment on what these statements say if we have U OW. Hint: Linearly independent sets can be extended to bases. Spanning sets contain bases. Use these tools wisely, and your proofs will be short

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