Question

Find ord5(2), ord7(2), ord11(2), and ord11(3). Where ordn(x) represents the order of x modulo n. Do...

Find ord5(2), ord7(2), ord11(2), and ord11(3). Where ordn(x) represents the order of x modulo n. Do these by hand and show all work.

Homework Answers

Answer #1

1.)

Let , Then

So the order of 2 modulo 5 is 4.

2.)

Let , Then

So the order of 2 modulo 7 is 3.

3.)

Let , Then

So the order of 2 modulo 11 is 10.

4.)

Let , Then

So the order of 3 modulo 11 is 5.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
We say that x is the inverse of a, modulo n, if ax is congruent to...
We say that x is the inverse of a, modulo n, if ax is congruent to 1 (mod n). Use this definition to find the inverse, modulo 13, of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12. Show by example that when the modulus is composite, that not every number has an inverse.
(a) Give the order of each element of {1,2,3,...,10} modulo 11. (b) Find all possible products...
(a) Give the order of each element of {1,2,3,...,10} modulo 11. (b) Find all possible products of an element of order 2 with an element of order 5 and show that they give primitive elements modulo 11.
(a) Give the order of each element of {1,2,3,...,10} modulo 11. (b) Find all possible products...
(a) Give the order of each element of {1,2,3,...,10} modulo 11. (b) Find all possible products of an element of order 2 with an element of order 5 and show that they give primitive elements modulo 11.
Find all elements of order 2 in the dihedral group Dn where n ∈ Z≥3
Find all elements of order 2 in the dihedral group Dn where n ∈ Z≥3
f(x) = 4x^2-5x+6 a) Find the slope in between where x=2 and x=3 b) Find the...
f(x) = 4x^2-5x+6 a) Find the slope in between where x=2 and x=3 b) Find the slope in between where x=3 and x=4 c) Find the slope in between where x=3 and x=a d) Find the slope in between where x=3 and x=3+h e) Use the answer in part c to find the slope of the line tangent to f(x) at x=3 f) Use the answer in part d to find the slope of the line tangent to f(x) at...
Find the radius and interval of convergence of 1.(a) ∞∑n=0 ((((−1)^n)*n)/(4^n))*(x−3)^n (b)∞∑n=0 n!(x−2)^n SHOW WORK
Find the radius and interval of convergence of 1.(a) ∞∑n=0 ((((−1)^n)*n)/(4^n))*(x−3)^n (b)∞∑n=0 n!(x−2)^n SHOW WORK
Given x(n) = {-1, 0, 2, 3}; where x(n=0) = -1                                   &nbsp
Given x(n) = {-1, 0, 2, 3}; where x(n=0) = -1                                                                  ­ a) compute its Discrete Time Fourier Transform X(ejw) b) sample X(ejw) at kw1 = 2?k/4, k = 0,1,2,3 and show that is equal to X~(k) which is the Discrete Fourier Series (DFS) of x~(n)
Use extended Euclid algorithm to find the multiplicative inverse of 27 modulo n, if it exists,...
Use extended Euclid algorithm to find the multiplicative inverse of 27 modulo n, if it exists, for n = 1033 and 1035. Show the details of computations.
Find the linear regression line for the following table of values, where x represents the number...
Find the linear regression line for the following table of values, where x represents the number of work site accidents and y represents the average percentage of employee turnover. You will need to use a calculator, spreadsheet, or statistical software. Round your final answers to two decimal places. x 1 2 3 4 5 6 y 7.97 7.85 11.3 10 12.58 15.41
Given that 2 is a primitive root modulo 19, find all the primitive roots modulo, 19....
Given that 2 is a primitive root modulo 19, find all the primitive roots modulo, 19. You must know how you are getting your answer and make sure all your answers are in the canonical residue set
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT