Rings

Example of Subring is commutative whereas whole ring is not commutative??

help me out plllllllllll

sure.

let R = the ring of all 2x2 matrices with integer entries. this is clearly a non-commutative ring (for example, the matrices:



do not commute).

but the matrices of the form:



form a sub-ring of R isomorphic to the integers, which is thus commutative.

thank u sooooooo muchhhhhhhhh :) :)