Let X = (a, b, 1, 2, 3) and T = {X, ̟, {a), (1,2), (a.1,2), (b,1,2,3}). Let B = {a, 2, 3) * None of the choices O Bis open in (X,T) Bis closed in (X,T) O Bis dense in (X,T)

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Q: Let X = {a, b, 1, 2, 3} and T = {X, p, {a}, {1,2}, {a,1,2}}. Let B = {b,3} * B is dense in (X,T) B…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: Let S = { (0,0), (0,3), (1,0), (1,2), (2,0), (3,2) } Find S', the transitive closure of S

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Q: Let A, B, C subset U. Suppose that n(U)= 90, n(A)= 40, n(B)= 55, and n(C)= 20. Which of the…

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Q: Let G = Z, O Z, H = {(0, 0), (2, 0), (0, 2), (2, 2)}, and K = ((1, 2)). Is GIH isomorphic to Z, or…

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Q: Suppose that a, a', b, b' are positive integers satisfying a) ab' a'b = b) gcd(a, b) = gcd(a', b') =…

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Q: 69. If S,, S, are two subsets of an inner product space V(F) then show that

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Q: Show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

A: We have to show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

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Q: 9) Suppose u, v € V, where V is an inner product space, and ||u|| = ||v|| = 1 and (u, v) = 1. Find u…

A: I have used the property of norm,  IIxII=0 off x=0