Determine if each of the following sets of vectors U is a subspace of the specified...

Determine if each of the following sets of vectors U is a subspace of the specified vector space, and if so, describe the set geometrically:

(a) U ⊆ R2, where U = {〈x1,x2〉 : x1 = 0}
(b) U ⊆ R2, where U = {〈x1,x2〉 : x1x2 = 0}
(c) U⊆R3,whereU={〈x1,x2,x3〉:〈1,2,3〉·〈x1,x2,x3〉=0}
(d) U ⊆ R3, where U = {〈x1,x2,x3〉 : 〈1,2,2〉 · 〈x1,x2,x3〉 = 0 and

〈1, 3, 0〉 · 〈x1, x2, x3〉 = 0}

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Expert Solution

Colby Messinger answered 1 year ago

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