Question

If A= (1,-1) check whether (A, ×) is not a group

Answer 1

Answer:

A= {0,1, -1}

1.clearly A is closed under addition

2.Usual addition is always associative

3. identity element 0\in\:A and satisfies a+0=0+a=a for all a\in\:A

4.

Inverse of 0 is 0

Inverse of 1 is -1

Inverse of -1 is 1

Inverse axiom is true

Hence (A,+) is a Group

1.clearly A is closed under multiplication

2.Usual multiplication is always associative

3. identity element 1\in\:A and satisfies a\times\:1=1\times\:a=a for all [tex]a\in\:A

4.

Inverse axiom is not true because inverse of 0 does not exist

Hence (A,\times) is not a Group

Answer 2

Answer:

hope this helps you.....

Step-by-step explanation:

give thanks= take thanks

follow me