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)( 275 39 8) O (1 4)( 27538 9) O (1 4)( 2 7 5 89 3) O (1 4)( 2 7 5 839) 2 34 5 6 7 E S7 Desisapr product of a = 3 4 5 2 7 5 2-cycles. O 3 O 4

Q: Compute the following. 4! 6! ]*

A: Answer - First we need to understand what is factorial before solving this question  n!…

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Q: 5. Let a = 2, az = 4, and an+2 a, = 2" for all natural number n. = 5a+1 - 6a, for all n 2 1. Use the…

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Q: Let a = (17 3)(5 94 2) and B = (2 3)(7 4)(5 1 8) be elements of S10. Then, a'B1 is O (1 4)( 2 7 58 9…

A: Product of elements in Sn is composition of those elements.

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Q: A = 2 B = 0 4 Compute the following if defined: (a) 3A – B (b) 2BT +C (c) AB (d) AC

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Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

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A: To find the order of (4,4) .

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Q: If then is equal to Select one: O 10 O none of them O-5 -10 [²f(u)d O-15 f(u)du = 5 and 5 15 […

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Q: In Z[2√7], show that N(6 + 2√-7) 5 N(1 + 3√-7) but 6 + 2√-7 and 1 + 3√-7 are not associates.

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Q: 2. Expand the following summations: a. b. Σxy c. Ef-o(2 + z;) d. E- x+ y e. E(axi+ b)? f. E(2xi+…

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Q: ) Express the pern 2546 1 product of the generators Wo=(12), `wa=(13), W1# (17) as a (125)(3 4 6 7)…

A: The generator of the permutation group S7 are given by: w2=1,2, w3=1,3, w4=1,4, w5=1,5, w6=1,6,…

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Q: 4 1. If A =|-4 B = li -3 10 3 101 and C = |1 3 . Find the following 8. 3 -4 -7] [4 5 using Excel.…

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

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

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: 2.3(i) Find the conjugates, moduli and arguments (to the nearest degree) of the following

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Q: Compute: 3] 2 5-3

A: 1.a1a2a3a4+b1b2b3b4=a1+b1a2+b2a3+b3a4+b42. Two matrices can be added iff the order of the marices…

Q: 1 a) Let A =-1 [1 0 3 and C =2 1 l1 31 [1 2 1 1 B = 2 2 1 If possible, -2 1] li 3 -1] 1 compute (A"…

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Q: Let a = (17 3)(5 9 4 2) and B = (2 3)(7 4)(5 1 8) be elements of S10. Then, a'B is O (1 4)( 27 58 9…

A: Alpha square beta inverse is : (1 4)(2 7 5 8 3 9) Third option is correct.

Q: 1 If the N(A) consists of all multiples of x = , then the rank of A 4 is: а. 3 O b. 2 O C. 4 O d. 1…

A: It is clear that from N(A)