# Prove the Transitive Theory

Not what you're looking for? Search our solutions OR ask your own Custom question.

Prove the following theory:

1) R1 is a subset of R2 => All of R3, R1R3 is a subset of R2R3 and

2) R1 is a subset of R2 => All of n, (R1)^n is a subset (R2)^n

3) Suppose R is transitive, then for all of n, R^n is a subset of R.

https://brainmass.com/math/linear-algebra/prove-transitive-theory-24503

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Prove the following theory:

1) R1 is a subset of R2 => All of R3, R1R3 is a su bset of R2R3 and

Proof. Suppose that , we know that and . Since , we have ...

#### Solution Summary

A transitive theory is proven. The solution is detailed and well presented.

$2.49