How do you go about answering this question?

[Omarrr_2163]

These questions where they say, 'it could be concluded that, in the long term...'

Do you set up a matrix and then test out which one is correct or incorrect in the long term
OR
Do you look at the proportions and how they would work in the long term
OR
Do you do something else

Please reply your strategy here thanks!

[PhoenixxFire]

For that question I just added up the values in each row and that gave enough information to work it out. If it adds up to more than 1, it will increase, if it's less than 1 it will decrease. Some questions like this I use a long term matrix for though.

[Chelsea f.c.]

Raise it to a very large power I.e. 100 or 1000

[Omarrr_2163]

Raise it to a very large power I.e. 100 or 1000

Yeah but there isn't an initial matrix or anything of that sort to put it to multiply by the transition matrix of the power of 100 though?

[Chelsea f.c.]

dont know how to upload screen shot from iPad..l but compare transition matrix to power of 1000 to multiplying by start vector of equal positions only 1 position with a 1 entry and you will see in long run it doesn't depend where you start only if you can go to desired places

[Omarrr_2163]

dont know how to upload screen shot from iPad..l but compare transition matrix to power of 1000 to multiplying by start vector of equal positions only 1 position with a 1 entry and you will see in long run it doesn't depend where you start only if you can go to desired places

Theres an attachment option just below. I really want to see how you answer that question.

[Chelsea f.c.]

That's an extreme example but you will see the matrix you raised to high power times any vector of probabilities will create same answer