Transition Matrices

[jemmastewart]

For the exam tomorrow...
Are Sn+1=T*Sn and Sn=T*Sn-1 the same thing?

How come in some instances do I have to put T^n and others times i have to replace S with Sn-1
Please help me!

[plato]

Don't just rely on substituting into a rule - try to understand what the rule means.
Both of your formulas mean that you multiply the transition matrix by a state matrix to get the next state matrix.

If, for example, you multiply T with S(seven), you will get S(eight).  ie  S(eight) = T^1 * S(seven)

But, if you multiply T^3 with S(seven), you will get S(ten)     ie S(ten) = T^3 * S(seven)