2. Let o (1,2,3) (2,3,4,5). = (a) Write σ as a multiplication (b) Write o as a multiplication (c) Iso even or odd? of disjoint cycles. of transpositions.

Q: 32-2n Σ=3 Ln=3_25-n

A: We have to evaluate ∑n=3∞ 32-2n25-n.

Q: ܒ ܚ ܚܘ - Find | 3 2 3 0 0 3 -2 -2 -1 1 1 ܐ ܘ WINNL 11012 -1 3 -3 0 -1 -3 1 Show all work

A:

Q: 14. Let A = {1,2,3,4,5,6} and p₁ = (4,2,5) and p₂ = (2,6,1) be permutations of A. Compute p₂¹P₁-1…

A:

Q: Let a= (123)(145) in S6. Write a102 in disjoint cycle form. O (32541) O (16)(24) O None of these…

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Q: 2. O lim (-3+h)²-9 ニ

A:

Q: Let (a1a2a3a4) and (a5a6) be disjoint cycles in S10. Show that there isno element x in S10 such that…

A: Given: a1a2a3a4 and a5a6 are disjoint cycles in S10.We need to show that there is no element x in…

Q: 151 150 Find Σ (4/ + 1) given that Σ(4/+1) -45450 i=1 i =1

A:

Q: Proposition: The signature of any r-cycle in S, is equal to (-1)-. Proof: 1. Note that a typical…

A: Fill in the blanks in the proof and give answer to the related questions :-

Q: Write a = (1236)-'(435)(14) as a product of disjoint cycles.

A: A permutation is a bijection from a set to itself. The symmetric group of a set contains all the…

Q: A) Let m=7. How do you find the inverse of all integers from 1 through 6 using the multiplication…

A:

Q: Find the adjoint of the operation B = 2|0 × 1|- ; | 1 ×o |

A: This question asks to find the adjoint of the operation B^=2|0×1|-i|1×0|.

Q: 25, 3, 3.75, ... sive:

A:

Q: Consider the following elements of S7 4 5 6 7 7 3 2 4 1 1 2 3 4 5 6 7 1 2 3 α 5 6 2 1 4 7 3 6 5 (a)…

A:

Q: f = (54)(71 8 5) %3D (a) Write the permutation f4 as a product of disjoint cycles, separated by…

A:

Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles O None…

A:

Q: Compute σ0(1000), σ0(750), and σ0(1024)

A:

Q: Najabhai

A:

Q: Construct the multiplication table for Zs. Using this table, or otherwise, determine the following x…

A: Solution

Q: (c) Find an element h of S10 such that hog (1 8 10 2 7 3 6 4), = and write it in two-line notation.…

A: (c) In one-line notation, g can be written as        g = (1  6  9  3  10  8  7)(4  5)    Then,…

Q: Let 71 = 3+7i and 72 = 3– 7i and find z172.

A:

Q: -275 2. Let A 013 -135 Find the adjoint of A.

A:

Q: (a) Solve for x if 25x = 15(mod 29).

A: Linear congruence

Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

A:

Q: 5. Let 1 2 3 4 7 4 1 3 6 58 2 6 7 8 p = (a). Write p as a product of disjoint cycles. (b) Write p as…

A:

Q: Let a= (123)(145) in S6. Write a102 in disjoint cycle form. (14523) (32541) None of these O (16)(24)

A: See the detailed solution below.

Q: 3. cos0 17 II

A: We have to find out θ value and given is cosθ=-817

Q: 20 3x

A:

Q: Write in Sigma Notation #3

A: Here we have to write the given sum in Sigma notation.

Q: (c) Suppose n EN is divisible by 5. What is (25n) (n) L?

A: Let, the prime factorization of n be as below.          n = p1a1 p2a2 . . . . . . pkak     for some…

Q: *Pivd the general Seltion to the

A:

Q: Find the order of 2 2; in C

A: Order is 8

Q: Let G = D8 = (a, b | a = 62 e, ba a³b) act by conjugation on = Dg. Let S = {a,b} be a set of…

A: Given: The Given G=D8=a,b| a4=b2=e,ba=a3b act by conjugation on Ω=D8. The S=a,b be a set of…

Q: Consider the following permutations in S7. ) 1234 567 1234567 3254617 2157463 (a) Write the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: III. Eliminate the AC 8. до Gex + сче-х + Сухе аех Cex ·X

A:

Q: 50 Evaluate Σ (5 + 2i) i=1

A: Solution is done in step 2

Q: 3. 09 0-16

A: Given determinant is : -1-263 To find the value of determinant.

Q: Suppose that |a| = 24. What is the generator of (a²l)n (a!o)? a20 a a14

A: Suppose that |a| = 24. We have to find the generator of <a21>∩<a10> .