Hi!

If P and Q are n x n stochastic matrices, why is PQ a stochastic matrix?

And why is P^k a stochastic matrix (induction proof)?

Find the basis for null space to the following matrix:

0 0,7 0 0 0

0 -1 0,6 0 0

0 0,3 -1 0,65 0

0 0 0,4 -1 0

0 0 0 0,35 0

(I'm sorry but I haven't learned LaTeX, and I'm so busy right now...)

I suppose you have to row reduce, but I'm quite new to this, so I have problem with row reducing this one...

Help is highly appreciated!