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

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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

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1 Let S And S Be Subspaces Of Rn Define The Union S U S The Intersection S1 N S2 And The Direct Sum S And S D 1
1 Let S And S Be Subspaces Of Rn Define The Union S U S The Intersection S1 N S2 And The Direct Sum S And S D 1 (31.59 KiB) Viewed 62 times
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.
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