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Asked Dec 27, 2019

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Let S1 and S2 be subsets of a vector space V. Prove that span (S1∩ S2) ⊆ span(S1) ∩ span(S2). Give an example in which span(S1∩ S2) and span(S1)∩ span(S2) are equal and one in which they are unequal.

Step 1

Let S1 and S2 be subsets of a vector space V. Prove that span (S1∩ S2) ⊆ span(S1) ∩ span(S2). Give an example in which span(S1∩ S2) and span(S1)∩ span(S2) are equal and one in which they are unequal.

Step 2

let,

Step 3

continuous from pr...

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