) Express the pern 2546 1 product of the generators Wo=(12), `wa=(13), W1# (17) as a (125)(3 4 6 7) (12) (15) 13 4) (36) (3 7). Express the permutation, t = (1 2' 3 4 5.67/€ S7 y 7 36 25 product f the generatois wa, jWz (1) (2 4 ai7 5 6) )(242 (23) (27) (25) (26)

Q: 2 Consider the bases B₁ and B₂. 2 -3 -7 4 {{³][])} {₁ 6 -5 B₁ = Find [x]B₂ if [x]B₁ 2 [²]. 6

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Q: 1. Let A= B = and C = 4 0 05-2 -6 5 -2 2 and 3 =. Compute the following (a) A+B (b) B' +C (e) C (d)…

A: Introduction: When we change the rows of a matrix into columns and columns into rows, as a result,…

Q: How can I prove that Z4 is cylic? I know that It has something to do with generators (I think?) and…

A: We have a group Z4. We have to prove that Z4 is cyclic.

Q: If 7 - 2 1 8. [1 -2 -2 -4 A =|- 2 3 B = -1 -3 , C =| 0 3 and D= 1 - 4 - 7 [2 - 4 | then find (A' –B'…

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Q: Model the following problem as a specified coefficient of an ordinary generating function. Follow…

A: Given information: Number of members in committees = 13 Number of officials in Country A = 5 Number…

Q: why - ( f ²^(lu² (+)² + 9²³\u{(t) ] ²³ ) d+){ 0 is inner Product?

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Q: Let A= 0 11 then adj(A)= 0 0 1 Select one: a. 100 -1 1 0 0 -1 1 Ob. 100 110 111 C. 111 01 1 0 0 1 d.…

A: A system of m×n numbers arranged in the form of a rectangular array having m rows and n columns is…

Q: [1 2 [1 0 3 and C = 2 1 [1 1 31 1 a) Let A =|-1 2), B = |2 2 1 If possible, 1 3 -1] compute (A" –…

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Q: (a) Let m and n be integers greater than 1. What is the order of the element (1,1) in Z/mZ x Z/nZ?…

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Q: g(x) = [[ ½ x ]] %3D

A: Given : g(x)=12x

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: 14. Suppose that Yk+2 – Yk+1 + 2yk = 4*, k > 0, and that yo = 2, y1 = 1. Find yk using the method of…

A: Solution of difference equation is a function that satisfies the given difference equation. Solution…

Q: Find an explicit formula for 1/(2-1/2), 2/(3-1/3),3/(4-1/4),4/(5-1/5)...

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Q: 2 3 2 If Eij= 3 -1 5 then the invariants are 25 -4 I1= -7 ,I2= 12,I3 = 50 .I %3D I= -1, I2= 12 , I3…

A: Given that,

Q: [2 Define A = 1 -2 Lo ܚ ܨܢ ܝܪ -12 31 5 0 -2 -2 1. Evaluate, showing your work: (i) B = (ii) (iii)…

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Q: Show that det [1 1 0 0 1 1 0 0 1 0... 0 0 1 ⠀ ... 0000 1000... 00 00 11 0 1 = 1+ (-1)"+¹.

A: As per the question we are given a matrix determinant, whose all diagonal and super-diagonal…

Q: 2) 1(E) y |13y – 5x relate to the baseB, : l16у —7x] 2.) and B, = '

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Q: Bruce and Cruz had 294 bookmarks altogether. Bruce gave away 3/8 of his bookmarks and Cruz gave away…

A: Let the number of bookmarks Bruce has = B The number of bookmarks Cruz has = C therefore B+C=294…

Q: 4 Let f = (4 5 6) and g = (1984) (2 7 5) (36) be two permutations in S9. (a) Compute fogo f-1, and…

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Q: 3. Compute |(1+ i)(1 – i)(1 + 3i)| .

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Q: (a) If a, b,c € Z+ and a +b=c then (c,[a, b)) = (a, b).

A: As you asked multiple questions , so I solved only the first one.

Q: -1 1 0 B 2 4 4 0 3 2 1 1. Let A= and C Let a =4 05 -2 -2 -6 5 -2 2 and 3 = Compute the following

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Q: 5. Find LU Factorizatioon of A = [5 2 1 1 3 2 7 1 2 3 2 1- Show the work!

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Q: - Derive formulation for the elements of c(m, m') modified Daniell Kernel

A: Given information: The information about modified Daniell kernel is given.

Q: 6 (la) Compute the following, recording only the answers on this page and showing all computations…

A: Given A = a0d0b000c Then A2 = a0d0b000c2= a0d0b000ca0d0b000c = a20ad+dc0b2000c2 Then A3 =…

Q: If / (7-4) (x + 8) 12 O 4 dx Adx - A+B 4 Bdx x+8' , then A+B =

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Q: Let a = (1 7 3)(5 94 2) and B= (2 3)(7 4)(5 1 8) be elements of S10. Then, a B is O (1 4)(2758 9 3)…

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Q: We want to find the number of ways in which 3r balls can be selected from 2r red balls and 2r blue…

A: We have , 2r red balls and 2r blue balls . To find : the number of ways in which 3r balls can be…

Q: Show that the generating function for compositions into an even number of parts, each of which is…

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Q: 1 3 28 (iii) Compute AB (iv) Compute (AB) 3) Let A = and B -1 - 20 4 1 (i) Compute A - 1 - 1 (v)…

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Q: Let E-f(): 05 05 n. 05 25 1.7√/25 rs 7). Compute 6.8365-1051090 11²³ dv

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Q: 5. Write down a generating function such that the coefficient of z" is the number of compositions of…

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Q: 2. Let A = - (37 (c) BC (d) CA (e) AAT (0 n B = Evaluate the following products: (a) AB (b) A² C= 3…

A: We are given with the multiple number of subparts answer according to the guudeline

Q: 5. Let h (z) = (z+1)(z+6)(z+10) z(z+2)(z+3) (z+3)(z–2)°, (z+2)(z+6) What is the residue of h (z)at z…

A: Given a function on complex plane as hz=z+1z+6z+10zz+2z+3+z+3z-22z+2z+6 Residue at z=-2 is given by…

Q: Let u(g) and v(g) be the Fourier transforms of u(x) and (2) of the product u(z) v(x)? Select one: O…

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Q: Q3)Find the following: 1- 0={2,1}, J={1,2,4,6,5,3}, and , R={5,4,2},T={6,5,1}Prove (OUR)c = OcnRc.…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…