  We consider a strictly substochastic matrix or an stochastic matrix with
absorbing states. By using quasi-stationary distributions one shows there is a
canonical associated stationary Markov chain. Based upon $2-$stringing
representation of the resurrected chain we supply a stationary representation
of the killed and the absorbed chains. The entropies of these representations
has a clear meaning when one identifies the probability measure of natural
factors. The balance between the entropies of these representations and the
canonical chain, serves to check the suitability of the whole construction.
