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Math Help - How do i know this transition matrix is regular ?

  1. #1
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    How do i know this transition matrix is regular ?

    This is a markov chain question.

    I know the def of regular and it says it the matrix does not have any non-zero terms or no negative terms then its regular. This is for p ^n though.
    so p might have zero terms but then p ^3 might not.

    But this matrix is 4x4 and so how to u calculate it ??

    (0.1 0.5 0 0.4)
    (0 0 1 0 )
    (0 0 0 1 )
    (1 0 0 0 )
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  2. #2
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    Quote Originally Posted by Rakesh View Post
    This is a markov chain question.

    I know the def of regular and it says it the matrix does not have any non-zero terms or no negative terms then its regular. This is for p ^n though.
    so p might have zero terms but then p ^3 might not.

    But this matrix is 4x4 and so how to u calculate it ??

    (0.1 0.5 0 0.4)
    (0 0 1 0 )
    (0 0 0 1 )
    (1 0 0 0 )
    All entries of the fifth power of your matrix are positive ....
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