# A transition matrix T tells us how to get from one state to another. That is Sn=TSn-1, where Sn is the distribution vector at time n and Sn-1 is the distribution vector at time n-1. We can conclude? Sn=TSn/2 Sn=TS0 Sn=TnSn-1 Sn=TnS0

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A transition matrix T tells us how to get from one state to another. That is Sn=TSn-1, where Sn is the distribution vector at time n and Sn-1 is the distribution vector at time n-1. We can conclude?

Sn=TSn/2

Sn=TS0

Sn=TnSn-1

Sn=TnS0

A transition matrix T tells us how to get from one state to another. That is Sn=TSn-1, where Sn is the distribution vector at time n and Sn-1 is the distribution vector at time n-1. We can conclude?

Sn=TSn/2

Sn=TS0

Sn=TnSn-1

Sn=TnS0

##### 2 Answers

#### Explanation:

We have from

#### Explanation:

In the calculation of matrix, **associative law** can be applied as if it were a number.

Therefore, the recurrence formula

In the recurrence formula for a geometric progression

i.e.

and so on.

See also:

http://stattrek.com/matrix-algebra/matrix-theorems.aspx

Note that