Question

I have two Markov matrices.

I know that the value of every element is between 0 and 1, and that the sum of all values of a column needs to be 1.

I need to demonstrate that:

1. If A is a Markov matrix, A^2 is a Markov matrix too

2. If P and Q are Markov matrices of same size, PQ is a Markov matrix too