а,, Assume that (kim) = 1; if [91191-9m) 15 Complete (resp. deduced) residue system modulorm, is Kamb So, [kaj, kan )

Q: 7) Show that there are no primitive roots modulo 21 using EGLF and CRT.

A: Given value of n is 21 . Now, break 21 into its factor, 21=7×3 ,7,3=1 If m>2 and n>2 then the…

Q: the DSA signing crypto system. be chosen in the Consider a) Let p = 67₁ 9 = 11 system. Find the the…

A: In the RSA system, the security of the system is based on the difficulty of factoring large…

Q: Determine all s ER such that i" - (i*)".

A: We have to determine all s∈ℝ such that ι4s=ι4s, where ι denotes the iota in a complex number. We…

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A:

Q: 6) find all the and non residues (mods) incongruent quadratic residues

A: It is given that Incongurant quadratic residues.

Q: Let A be the set of irrational numbers in [0, 1] and let B be the set of ratinal numbers in [0, 1].…

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Q: 1. The number of ways of selecting without order & objects among a different objects is defined (:)…

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Q: 1) write the mathematical expression using a) unit impulse and its shifted sequence b) unit step and…

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Q: Which are binary operations? E xplain who or why not . A) On the positive integers ,that is ,…

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Q: В. Prove that A ERT ~ ASKY by SSS Similarity theorem. Statements Reasons 3 4 By Computation 15 %3D 4…

A: Given problems:-

Q: Write a reduced residue system modulo 24

A:

Q: Explain the Wronskian Derivation?

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Q: 1.) Is the following UPC numbers valid codes 0-51231-69421-5

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Q: Let f= (14723 5 6) and g = (1 5 3 264) be permutations in S. What is the second line of fin two-line…

A: Introduction: Permutation businesses are mathematical businesses whose individuals are permutations…

Q: a) Prove that, for all integers K > 5 Р(к +1,5) — Р(К,5) %3D 5P (К, 4)

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Q: Prove: If a and b are relatively prime integers, then a^(theta(b)) + b^(theta(a)) congruent 1(mod…

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Q: 1.) Show that (A*)* = A and (AB)* = B* A*

A: In the given problem we have to show that the two matrix results (A*) *=A  And (AB) *=B*A* where *…

Q: Find in modulus-argument form [(1+iv3)³/ E-1+i)²]°.

A:

Q: * The given matices , verify directly thart (RS)* -5*R* and (E) - p*i* 3 i . R= 3i %3D 1

A: The given matrices are: R=123i4, S=3i70, To prove: (RS)*=S*R*.

Q: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

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Q: 5. Let p = 61. Find all incongruent elements modulo 61, that have order: (а) 5 (b) 10 (с) 60

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Q: A cosets of of 212 are اخترأحد الخیارات + 2, +1,.1 O + 1,.2 O + 4, + 1, .3 + 4, + 2, + 1 , .4 O

A: Cosets Definition: Let G be a group and let H is a nonempty subset of G. A left coset of H in G is a…

Q: Verify the statement made in the discussion of the Verhoeff check digit scheme based on D, that a *…

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Q: find fundamental set of soleubions cwith d real va lues for

A: Using differential equations,

Q: 2. How many bit strings(strings of 1 or 0) of length 8 are there such that it contains no more nan 3…

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Q: True or false: The integers 5, 13, 23, 29 form a reduced residue system modulo 12. Justify your…

A: To find whether the integers 5, 13, 23, 29 form a reduced residue system modulo 12 or not .

Q: Suppose X-Neg Bin(r=2 ,beta=3) a) Evaluate p_0 b) Use the recursive formula to obtain p_1 ,p_2 ,p_3

A: X follows a negative binomial distribution.The pmf of negative binomial distribution:

Q: 3 + 3 3 3 -3 몽클롭 + 니 50 times

A: We know that, ∑n=1kn=1+2+3+4+. . .k

Q: Let n be an element in Z. Prove that 5|n^2 if and only if 5|n.

A: If n be an element in Z. We have to prove that 5|n^2 if and only if 5|n.

Q: Prove that 13n13 + 11n" is always divisible by 24.

A: Consider the given expression.

Q: There are 1978 clubs. Fach club has 40 members. It is ONon that every patr of these cluubs has…

A: Since every pair has a common member so that member will belongs to every club.

Q: In A, values of k for which det(A)=0 3 poi n are * (k-4 0 A = 0 k 3 k-1, O k=4, k=-3, k=-2 k=-4,…

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Q: a) Find a0, a1, a2, a3 so that 1234 = a3 · 10^3 + a2 · 10^2 + a1 · 10^1 + a0 · 10^0 b) Prove that…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: If a and b are integers with gcd(a, b) =d Then gea (-) -- gcd

A: False

Q: Find the order of 175 in Z_245

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Q: Prove that : ₁F₁ (u:c: x)]=(-1)" (c-a) „‚e¯x;F₁ (a;c+m; 5). 1 1 (0) "" [~~* 2 098 PRO dx

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Q: Let m = p^3 qr^3 and n = p^2 r^5, where p,q,r are distinct primes. Find each of the following. a.…

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Q: congruences using the modular inverses found in question 11. 4 (mod 141) 34 (mod 89) Solve the…

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