. Given a group G = , find all its subgoups and their generators
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- Consider the multiplicative group Z13. a) How many elements does this group have? b) What are the possible orders of the elements of the group? c) Which of the elements in the group are primitive?Question 3 Please answer them correctlyJava code for finding the independent set of the adjacency matrix. ask for user input
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- (V, E) be a connected, undirected graph. Let A = V, B = V, and f(u) = neighbours of u. Select all that are true. Let G = a) f: AB is not a function Ob) f: A B is a function but we cannot always apply the Pigeonhole Principle with this A, B Odf: A B is a function but we cannot always apply the extended Pigeonhole Principle with this A, B d) none of the aboveWhat is the determinant of M?M = [1 0 2; 3 8 5; 1 1 3]Write a Java program that checks whether the relation of a matrix is reflexive, irreflexive, symmetric, anti-symmetric, asymmetric and transitive. (and get the square matrix)
- 1. Let A = (a, b, c). a. Determine A x A b. How many elements are in the power set of A x A? Show how you got your answer. Do NOT list the elements in the power set. c. How many two-element subsets are in the power set of A x A? Show how you got your answer. Do NOT list the elements.Can you give me the java code for the followingLet A = {2,3,4} and B = {3,8,9). 1. Select all the cartesian products that (4, 8) is an element of. There may be more than one correct answer. DA.BXB. OB.BX A OC.AXA ED.AXB 2. Select all the cartesian products that (9, 3) is an element of. There may be more than one correct answer. DA.AXB OB. BXA DC.BX B OD. AXA 3. Select all the cartesian products that (3, 3) is an element of. There may be more than one correct answer. DA.AXA OB. BXA OC.BXB ED.AXB 4. Select all the cartesian products that (2, 2) is an element of. There may be more than one correct answer. DA.BXA OB. AXA DC.AX B D.BXB