1. Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y) R if and only if x = 1.
a. reflexive
b. symmetric
c. antisymmetric
d. transitive
2. Find the Boolean product of the two matrices:
[ 0 1 0 ] [ 0 1 0 ]
[ 1 1 1 ] [ 0 1 1 ]
[ 1 0 0 ] [ 1 1 1 ]