In Excrcises 9-18 mark each statcment True or Falsc (T/F). Justify cach answcr. 9. (T/F) If vi.... ,Vp are in R" and if the set {vi-V2, V3 – V2....,Vp-V2} is linearly dependent, then {v1.....Vp} is affinely dependent. (Read this carefully.) | in DA iben

Q: Let U = {1,2,3,4,5), A = {1,3,5}, B = {1,3,4), and C = {2,3,5). (a) Find A U (BUC). (b) Find (AUB)…

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Q: 18. In each part, let T₁: R3-R² be multiplication by A, and let u,= (0, 1, 1) and u₂=(2,-1, 1) and…

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Q: If #: $ a,b,c} which of these celations are a funchion? Emplain, cab) CS

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Q: Let f and g be permutations. Show that the order of h=fgf^−1 is the same as the order of g.

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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: -16] --14] Let ai -20|, a2 = -16 and az = –18 -4 -4 -4 The set {a1, a2, az} will span R' unless h =

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Q: 9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3,…

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Q: 2. Let f and g be any permutations. Show that the order of h = fgf- is the same as the order of g.

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Q: From fundamental property relations, proof the following equation is valid. %D | T.

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Q: The probabil ariable x is a om this dens Is between

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