If f : A ---> B is a bijective function, then f -1 of f =
A. | f o f^{ -1} |
B. | f |
C. | f ^{-1} |
D. | I_{A}(Identity map of the set A) |
Option: D Explanation : Click on Discuss to view users comments. |
The set of all real numbers under the usual multiplication operation is not a group since
A. | multiplication is not a binary operation |
B. | multiplication is not associative |
C. | identity element does not exist |
D. | zero has no inverse |
Option: D Explanation : Click on Discuss to view users comments. |
If (G, .) is a group such that (ab)- 1 = b-1 a-1, ∀ a, b ∈ G, then G is a/an
A. | commutative semi group |
B. | abelian group |
C. | non-abelian group |
D. | None of these |
Option: B Explanation : Click on Discuss to view users comments. |