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Math Help - Eigenvalues etc

  1. #1
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    Eigenvalues etc

    consider the Internet

    p1 goes to p2
    p2 goes to p3
    p3 goes to p1
    p4 goes to p3



    Assume that surfers have an 80% chance of following one of the links on the page, and a
    20% chance of jumping to a random page.
    (a) Write the transition matrix A representing the surfing process.
    (b) Is A singular or nonsingular?
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  2. #2
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    is this the transition matrix, or am i at least getting close to it

    .20 .20 (.20*.80) .20
    (.20*.80) .20 .20 .20
    .20 (.20*.80) .20 (.20*.80)
    .20 .20 .20 .20
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  3. #3
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    do i let lamda equal 1 and find the eigenvector? also, is there supposed to be 1/4 in some of those numbers in the matrix?
    Last edited by jkeatin; December 19th 2008 at 12:14 PM.
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  4. #4
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    Quote Originally Posted by jkeatin View Post
    is this the transition matrix, or am i at least getting close to it

    .20 .20 (.20*.80) .20
    (.20*.80) .20 .20 .20
    .20 (.20*.80) .20 (.20*.80)
    .20 .20 .20 .20
    The numbers in each column must add up to 1. Each column should have .8 for the page that it links to. The remaining .2 has to be split equally into four lots of .05 (one of which obviously has to be added to the .8 that is already there).
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