Click to Get updated NTA UGC NET CS Test Series           Study Material for UGC NET Computer Science- 2019

# Set Theory and Algebra MCQ - Algebra

11:

Let G denoted the set of all n x n non-singular matrices with rational numbers as entries. Then under multiplication G is a/an

 A. subgroup B. finite abelian group C. infinite, non abelian group D. ininite, abelian Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
12:

Let A be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. Then

 A. A is closed under * but < A, * > is not a semi group B. < A, * > is a semi group but not a monoid C. < A, * > is a monoid but not a group D. < A, * > is a group but not an abelian group Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
13:

If a, b are positive integers, define a * b = a where ab = a (modulo 7), with this * operation, then inverse of 3 in group G (1, 2, 3, 4, 5, 6) is

 A. 3 B. 1 C. 5 D. 4 Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
14:

Which of the following is TRUE ?

 A. Set of all rational negative numbers forms a group under multiplication B. Set of all non-singular matrices forms a group under multiplication C. Set of all matrices forms a group under multipication D. Both (b) and (c) Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
15:

The set of all nth roots of unity under multiplication of complex numbers form a/an

 A. semi group with identity B. commutative semigroups with identity C. group D. abelian group Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:

X