# Answer on Abstract Algebra Question for Hazel

Question #18514

for non-trivial subspaces U and W of a finite-dimensional vector space V, define

U+W := {u+w | u element of U and w element of W}. Prove that U+W is a subspace of V

U+W := {u+w | u element of U and w element of W}. Prove that U+W is a subspace of V

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