Posted by luckybee on .
Is this set closed under multiplication
{1, 0, 1}

closure propery 
Knights,
Closed under multiplication means that any member of the set times any other member of the set (including itself) yields another member of the set.
We have the combinations,
1 * 0 = 0
1 * 1 = 1
1*1 = 1
0*0 = 0
0*1 = 0
1*1 = 1
All results are from the set, so it indeed is closed.