Homework SourseConsider the subset H 3k k in Z of Z12 a Determine the d
Consider the subset H = { [3k] | k in Z } of Z12.
(a) Determine the distinct elements of H and construct an additional table for H.
(b) A relation R on Z12 is defined by [a] R [b] if [a-b] in H. Show that R is an equivalence relation and determine the distinct equivalence classes.
Solution
![Consider the subset H = { [3k] | k in Z } of Z12. (a) Determine the distinct elements of H and construct an additional table for H. (b) A relation R on Z12 is d](/WebImages/14/consider-the-subset-h-3k-k-in-z-of-z12-a-determine-the-d-1018857-1761526738-0.webp "Consider the subset H = { [3k] | k in Z } of Z12. (a) Determine the distinct elements of H and construct an additional table for H. (b) A relation R on Z12 is d")
