2 Let o (1 3 5)(2 4) and T (1 5)(2 3) be elements of S. Find o,or,to, and to

Q: 10 -8 -2 -2 0 2 2 -2 24. Let A = and w = Determine 1 -1 1 0 -2 if w is in Col A. Is w in Nul A? 6

A: Consider , A=10-8-2-2022-21-160110-2  and w=2202 To determine if w is in column of A. In matrix take…

Q: If 0 ≤ an ≤ b, and Σb, diverges, then Σan diverges.

A: Given: The series an and bn in the interval 0≤an≤bn and if the series ∑bn diverges, then ∑an…

Q: If TeZx Such that x is a momber of 27+5x-3=03 and S={x Such that x i. member of 2i+71+233/3 that T…

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Q: O pts Question 15 Which of the following is equivalent to the expression V125æ³ y – V5æ? O 5|æy³|/5æ…

A: Given expression

Q: 01 Let A = |1 2 0 and w = 0 0 1 1 2 1 Select the statement that is correct. O w is an element of Nul…

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Q: 7. Let c t- are both even or both odd. Let that o and(t 0, t be permutations in S. Prove t

A: Every permutation can be written as a product of 2 - cycles.Suppose  σ = d1 d2 - - -dsand   ζ = B1…

Q: Given set A = {1, 2, 3, 4, 5, 6, 7} and p, and p, be permutations as follow: 1 2 P2 = 2 3 6 5 4 7 1…

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Q: (1 2 3 4 5 5 1 3 6 2 2. Let o = E S6. 1. Wi des 2. 3. 4. What is the size of the conjugacy class of…

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Q: Consider the set A={ Identify An B. 3n+2 4n-1 4n+1 {In € N*}. 5n-3 In € N*} and B={

A: Kindly refer to Step 2 for the solution.

Q: Let -8 -2 -9 6. 4 8 and w = 1 4 4 -2 Determine if w is in Col A. Is w in Null A?

A: We can solve this using given above information. -8-2-9648404 and W=21­2 First we calculate Col (A)…

Q: Let A and B be distinct elements in T. Show that An BET. Case 1: A and B = R AnB =Øn R=Ø E T by a.…

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Q: Compute f2,f3, and f-1 for each of the following permutations.   f= (l,3,7,4)(2,5,9,8,6)

A: f= (l,3,7,4)(2,5,9,8,6)

Q: Explain each step of this proof that C(5, 5) + C(6, 5) + C(7, 5) = C(8, 6): Proof. C(5, 5) + C(6, 5)…

A: The proof of the statement is given in the explanation part.Explanation:Steps and explanations are…

Q: b. Let A and B be elements in Sn T. Show that An BE S N T. c. Let A¡ be elements of SnT for i € I.…

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Q: (f) Write down, in cycle form, the elements of the cyclic subgroup H of So generated by p. (g) Write…

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Q: 1 2 1 1 Let A = 1 1 2 1 ,v = 1 1 2, 1 () Which amongst v1, v2, v3 is an element of null(A)? Only vi.…

A: Check one by one multiplication with A

Q: Let X₁, X₂,..., X be a r.s. from N(,0) and Y₁, Y₂...., be another independent r.s. from m…

A: Solution

Q: Prove that if A – B – D and B – C – D, then A -C– D.

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Q: Let A=0 1 1 then adj(A)= 0 0 1 Select one: a. 1 1 1 0 1 1 O b. 1 0 0 -1 1 0 0 -1 1 1 -1 0 0 1-1 0 0…

A: To find: adjoint of the matrix

Q: .3 T Evaluate In In e²+j²4

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Q: Prove that if m | k then 2" – 1| 2k – 1

A: Use the definition of Divisibility, "a divides b" means a and b are integers and there is an integer…

Q: a. Find C if C = AʘB.

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A13 0, 1 1 0 P =| 1 P = 0 No4. Let A = a23 1 A33 3 0 Compute P,A, PP,A.

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Q: If W​ = {0,1,2,3,...}, L={x | x =2n+1, n ∈ W}​, M={x | x =2n, n ∈ W}​, and N​ = {1,2,3,...}, find…

A: Given  W​ = {0,1,2,3,...}, L={x | x =2n+1, n ∈ W}​, M={x | x =2n, n ∈ W}​, and N​ = {1,2,3,...}

Q: The permutations p= p and q in So have the two-line symbols 1 2 3 4 5 6 15 2 3 4 6 1 2 3 4 5 6 4 6 2…

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Q: Determine whether the following generalizations are true or false. 1.  If x and y are both elements…

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Q: Make a list of the amounts of money one can have that cannot be reduced to a smaller number of…

A: In Glosia, currency consists of florins (f) , ecus (e) and  ducats (d). In Glosian money, f=2e, e=2d…

Q: Let A={ 1,{1}, {2,3}}. Which of the following is NOT true?

A: Given,           A=1,1,2,3

Q: Consider the following permutations in S9 1 2 3 4 5 6 7 8 9 (1 2 3 4 56 7 8 and r= 3. 5214 6. 9 78 5…

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Q: If 3 1 0 A = | 5 2 -1 1 4 - 2 The adjoint of A is -1 1 9 9. 18 - 6 3 -11 – 11 1 True False

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Q: (1 2 3 4 5 6 2 3 1 5 6 4 (1 2 3 4 5 6 7 3 4 5 1 2 7 6 b. P1 = 2) and p2 = ) are the permutations on…

A: Given,  p1= 1 2 3 4 5 6 72 3 1 5 6 4 7 and  p2= 1 2 3 4 5 6 73 4 51 2 7 6 are two permutations on…

Q: -4 5 Given A compute 3A 2 3 ||

A: Compute 3A for the given matrix A

Q: Let a, b, c E Z. show that ca & cb if and only if c (a, b).

A: Division properties are used to prove it

Q: Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

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Q: Let x e {1, 2} and y e {1, 4}, consider a predicate P(x, y) defined as P(x, y): 4 divides (x² + 3y).…

A: