I got that because in the field, we have the equation now being , and seeing as all elements in the field have multiplicative inverses all elements within are solutions.
I got that because in the field, we have the equation now being , and seeing as all elements in the field have multiplicative inverses all elements within are solutions.
you can't say , as I said and from you can just conclude that and nothing else !
Thats not what I said at all.
The solutions would be 1,2,...16. NOT just 1.
This is because for
Why can't ?
from we have because the only element whose inverse is 1 is itself 1 . Moreover since the order of each element divides the order of the group and the order of this group is 16 then and but and so and as you see it won't be .