QUESTION 12 a) Find the order of each element in (Z,+g). 8' b) Find the order of each element in (U (9),.)

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Q: QUESTION 8 List the elements in (3))in Z 18 -

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A: To find the element A3,2  of the given matrix A.

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Q: Kailashben

A: The objective of this question is to find another permuted LU factorization of the given matrix A.…

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Q: True

A: False.

Q: Find the order of each element in Z12-

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Q: Prove that if (a, 91) = 1 and (b, 91) = 1, then 91 | a¹² - ¹². 12

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Q: Find the order of (3, 4) in Z4 × Z6

A: Z4={ 0,1,2,3 } mod 4Z6={ 0,1,2,3,4,5 } mod 6Order (a,b) in Zm*Zn = LCM { order( a), order (b)}

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Q: 1+3i+2-5i = 10 (1 + i) ¹⁰ = (1 +3i)· (2 - 5i) = +99 + 100i ; 1+2i+3+4i + =

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Q: r=10 (h,k) = (6,8) standard form = ____ general form = ____

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Q: Ow(A) ol(A) ull(A) A= [11 1.15 Ę X X 10-1 5 J O

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Q: How many ways are there to select two subsets A and B of {1,2,…,n} such that A and B are {\em not}…

A: Both A and B must be non-empty. So, possible cardinality of A can be  1,2,3, ..., n-1.

Q: Abstract

A: We find cosets in U(15).

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Q: Find the order of each element in U(15).

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Q: QUESTION 10 1 2 Let A and B then AB %3D %3D 0 2

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Q: QUESTION 13 List all the elements of order 12 in Z600.

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Q: QUESTION 11 13 Let A then A-1 %3D

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Q: ring

A: We use result of irreducible polynomial over Q.

Q: Can you find LU factorization of A, thank you.

A: The obtained matrices are

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Q: QUESTION 5 Find all the elements of order 12 in Z48000 -

A: Number of elements of [m] in Zn is phi(m)

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A: We have to show that the group U(14) and U(18) are isomorphic.

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Q: Discrete Math question Use set identities to simplify (A - (A ∩ B)) ∩ (B - (A ∩ B))

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