Arithmetic Aptitude :: Algebra Problems
- The set of all real numbers under the usual multiplication operation is not a group since
- If (G, .) is a group such that (ab)- 1 = a-1b-1, ∀ a, b ∈ G, then G is a/an
- If (G, .) is a group such that a2 = e, ∀a ∈ G, then G is
- The set of integers Z with the binary operation "*" defined as a*b =a +b+ 1 for a, b ∈ Z, is a group. The identity element of this group is
- If R = {(1, 2),(2, 3),(3, 3)} be a relation defined on A= {1, 2, 3} then R . R (= R2) is
- Which of the following statements is false ?
- If (G, .) is a group, such that (ab)2 = a2 b2 ∀ a, b ∈ G, then G is a/an
- 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