Free matrix and vector calculator - solve matrix and vector operations step-by-step. A n − 1 B] where A is an n -by- n matrix, B is an n -by- m matrix, and Co has n rows and nm columns. In this form, the ij th element of the matrix A is the conditional probability. Theorem 3 – mean time to absorption; In an absorbing Markov chain with transition probability matrix , consider the fundamental matrix .The following calculation is of interest. The chain has reached equilibrium of its own accord. How to use this calculator ? Moreover, it computes the power of a square matrix, with applications to the Markov chains computations. 786-222-6226 ; Contact Us Today - We Answer Our Phones 24/7 . 1. Markov chain calculator - transition probability vector, steady state ... The algorithm of matrix transpose is pretty simple. 1. To get the vector you need to solve the following equation, matrix form. Calculator for finite Markov chain (by FUKUDA Hiroshi, 2004.10.12) Input probability matrix P (P ij, transition probability from i to j. steady state vector To find the steady state it will be [x,y] * [.5 .5] = [x,y] [.8 .2] .5x + .8y = x .5 (1-y) + .8y = 1-y ........ Knowing that x + y = 1, I can do substitution and elimination to get the values of x … For projections we can spot the steady state . SQUARED MATRIX CALCULATOR