- #1
zoner7
- 90
- 0
Homework Statement
in Zp, where a does not equal 0, that [a][x] = [a][y] is the same as [x] = [y].
This was a question on a test I just finished. Just curious how wrong my answer is. So I sort of ignored the congruence class part. I just said:
* [a]^-1 represents the inverse of [a] *
[a][x] = [a][y]
[a]^-1[a][x] = [a][y][a]^-1 (by associative law)
[1][x] = [1][y] (by the law of inverses)
[x] = [y] (since 1 is the identity element under multiplication in congruence classes).
so yea... did i do anything right?
thanks for the help in advance