Question

For the operation (a,b)*(c,d)=(ac-bd, ad+bc), on the set R X R with the origin deleted, is there an inverse element for every (x,y) in that set?

Answer 1

wheres (x,y) come into play?

Answer 2

(x,y) is just symbolizing any element within that set.

Answer 3

Before you ask what the inverse of an element is, you need to know what the identity element is. Have you found the element that acts like the identity yet?

Answer 4

Yes I actually found the answer. Thanks anyway