X={1,2,3,4} .The permutation group S4=

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…

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Q: Which of the following does not belong to the group? 3 6. 4 8. 10

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Q: What is element E12 of the product of G*H

A: To find: The product of G and H and also find the element E12. Given: The matrix are H=7-10.5-5-3.54…

Q: Write the permutation corresponding to R90 in the left regular representationof D4 in cycle form.

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Q: The permutations p = (3 5 4), q= (1 5 2 3) and r = (1 5 2) are elements of S5. pal, m. (a) Find each…

A: (a) To find each of the given permutations in cycle form, we will apply the permutations…

Q: find the generated of zy zs+Z7

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Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the…

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Q: Denote by X₁1 the operation "multiplication modulo 11" where a X11 b is the remainder when a × b is…

A: The given set Z11=0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. To construct the multiplication modulo table,…

Q: Do you agree with what Granny is saying?

A: Yes. I am agree with what Granny is saying.

Q: Suppose the mean of group1 is A and mean of group 2 is B. We combine groups of 1 and 2 to form group…

A: Given, Mean of group 1 is A Mean of group 2 is B         To find, Is the mean Group 3 equal to A+B ?…

Q: nsist only of of even length. Generalize to find the EGF number of ations that consist only of…

A: To find: (1) The EGF for the number of permutations that consist only of cycles of even length.…

Q: Answer the followings: 1. What is the order of the element 14 + (8) in the factor group Z24/(8)? a.…

A: The objective is to determine the order of 14+<8> in the factor group ℤ24<8>.

Q: Find the GCD (90, 36).

A: Given numbers are (90,36). The factors of prime factor of 90 are (2,3,3,5) The factors of prime…

Q: Create an example of a permutation and a combination (one of each) and use them to communicate the…

A: Given: The objective is to communicate the connection between permutation and combination with an…

Q: what is the characteristic of Z6xZ9

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Q: #2. If fonel

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Q: Q2. Find the Fourier sine and cosine series of the function f(x) = x², 0 < x < 1. Sketch f(x) and…

A: Sketch odd extension of f:

Q: Question the iff {an} one {bn3 are juro sequences Such that an = (x)2h + (yjzh and bn= (x)2th -(y)zh…

A: Introduction:       A grouping of numbers in a specific order is known as a sequence. On the other…

Q: Every permutations can be expressed as a   product of transpositions.

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Q: explain in detail if the following statement is true or false: " In the permutation group S5, the…

A: First we define the permutation as follows:Let  be a finite set having  elements. Let  be a…

Q: Suppose that you have a group of 10 people (where any two people are either friends or enemies) and…

A: As per the question we are given a group of 10 people (where any two people are either friends or…

Q: 3) y=--x - 1 | 1 y =-x-4 4 Ay 5 4 3 -2 -2 -3 Answer:

A: follow the  next step

Q: Suppose a permutation s swaps the first two elements of {1, 2, ..., n}. A permutation r rotates the…

A: Given set is 1,2,...,n. Now, rm  make the circular shift of m number of the elements and then the…

Q: 3 Group of 6

A: One group of 6 = 6

Q: Prove using the properties of set operations: An (B-C) = (ANB) - (ANC)

A: