All none-transient states are absorbing states. Hence the \(P\) matrix looks like \(\begin {bmatrix} 1 & 0 & 0 & 0\\ 0 & 1 & 0 & 0\\ R & R & q_{11} & q_{12}\\ R & R & q_{21} & q_{22}\end {bmatrix} \)i.e. \(\begin {bmatrix} I & 0\\ R & Q \end {bmatrix} \)