Question
Mathematics Question on Vector space
Which one of the following is wrong?
A
The set Z of integers forms a group with respect to the usual addition of integers.
B
Let G be the set {1, -1}. Then it forms a group under multiplication
C
Set of all non-zero complex numbers forms a group under multiplication.
D
The set Q of rational numbers forms a group with respect to the usual multiplication of rational numbers.
Answer
The set Q of rational numbers forms a group with respect to the usual multiplication of rational numbers.
Explanation
Solution
The correct answer is(D): The set Q of rational numbers forms a group with respect to the usual multiplication of rational numbers.