1. Suppose R is a partial order on A and S is a partial order on B. Define a relation T on A B such that (a1, b1) T (a2, b2) iff a1 R a2 and b1 S b2. Is T a partial order on A x B? Either provide a proof to show that this is true or provide a counterexample to show that this is false. To be partial order must satisfy 3 conditions: Be reflexive, transitive and antisymmetric I don't know how to proof this since this is a cartesian product (A x B) a) So, what is the relation T on A x B? b) Is T a partial order on A x B? Please be clear in your answers and I need this not later than 10 pm today ( 10/01/16) Thank you