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So the point of all this really now,
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is that we'd like to very much find if we could, or solve for that vector 'x', that steady-state vector 'x'.
3
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If we can do that, we've basically cracked the case, we've solved the problem of what is the long-term behavior of the Markov Chain.
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If you think about it then, we're really getting our "biggest bang for our buck", in that case, because I can maximize the predictive power of my Markov Chain model by finding the steady-state vector 'x'.