Answering Questions That Require Multiple Applications of a Transition Matrix (VCE SSCE General Mathematics): Quizzes

The situation at the beginning

The transition matrix

$S_1 = T \times S_0$

$S_n = T^n \times S_0$

For many time steps (e.g., 20 or 40)

Number moving each way is equal

$S_2 = T^2 \times S_0$

$2 \times 1$

Previous state and transition matrix

Movement continues but net effect is zero