If G ⨁ H is cyclic, prove that G and H are cyclic. State the generalcase.

Q: Let A, = {..., – 2,- 1,0,1,...,i}. Find

A: Ai={..., -2, -1, 0, 1, ......, i} ∩i=1nAi=?

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Q: . Write (12)(13)(14) in the form æ(12), where a E A¸. Write (1234) (12)(23), in the form a(1234),…

A: Given, (12)(13)(14) and we have to write this in the form alpha(12), where a in A4. Similarly, write…

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A: In the given question we have to find the 10th power of the matrix A s.t A=10-12. Concept: If a…

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Q: Consider any U=(XeyJEV and

A: Given u=(x,y) € V and 0+u=(x,-y)€V

Q: Let A = {5, 10, 15, 20, 25) and B = {3, 6, 9, 12) (a) Find A - B (b) Find B A (c) Based on your…

A: we know that A-B=A\B=all those element of A which are not in B.Simialrly, B-A=B\A=all those element…

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Q: Let 1 2 3 1 A = | 6 -2 3 and I3 =| 0 1 5 4 1 If 2. is a real number, compute 2I3 – A.

A: A = 1236-23524 I3=100010001

Q: Label each of the following statements as either true or false. Ix+ yl2 < lxl2 + lyl2  for all…

A: x+y2<x2+y2    for all  x and y in Z

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Q: DIVISION BYt (:) - {}> 81. Show that In %3D

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Q: 1. Solve the equations below. Show your work. a.) x2 – 14x + 45 = 0 b.) 3x2 – 2x - 5 = 0

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Q: How would we show that H is cyclic?

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Q: カーて A %3D 3.

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A: Use : cos x =1-x22!+x44! + ...........

Q: Compute the exact value of each of the given limits. Enter DNE if a lim √7-a a-7- a= lim √7-a= a-7+…

A: given function ⇒                            f(a)=7-a

Q: (3) 4-1

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A: To prove : The two cycles (a1,a2,...ak), (b1,b2,...bm) are disjoint cycles. If the pair of cycles ↵…

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A: We will use the formula.

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A: Given ,  M/a = np  We have to solve for a  Then ,  Cross multiply

Q: workout the commutators of poincare group. I need full derivation so please do the full derivation

A: The Poincaré group is the group of symmetries of Minkowski spacetime, which includes translations,…