a.) Let a=3-8i and b=2+3i. Find x,y ϵ Z[i] such that ax+by=1.
b.) Show explicitly that the ideal I=(85,1+13i) [itex]\subseteq[/itex] Z[i] is principle by exhibiting a generator.
Given ideal: I=(85,1+13i) [itex]\subseteq[/itex] Z[i]
Honestly, I am beyond lost on this problem. Any help would be appreciated. Thanks!