1. Let S₁ and S₂ be subspaces of Rn. Define the union S₁ U S₂, the intersection S1 n S2, and the direct sum S₁ and S₂, d
Posted: Thu Jul 07, 2022 2:20 pm
1. Let S₁ and S₂ be subspaces of Rn. Define the union S₁ U S₂, the intersection S1 n S2, and the direct sum S₁ and S₂, denoted S₁ S2. Of these new sets, which are and which are not subspaces of Rn? Give an argument or counterexample to justify your answer.