Transition Matrices – Using Recursion (VCE SSCE General Mathematics): Flashcards

Method for modelling systems that change over time

$S_{n+1} = T S_n$

$S_n = T^n S_0$

Initial state matrix

Shows how the system changes

$S_n = T^{-1} S_{n+1}$

When state matrix stops changing

Regular matrix & columns sum to 1

Check two successive state matrices agree

Flows balanced though transitions continue