How can the efficiency of the basic strategy of blackjack be explained using eigenvalue an eigenvector analysis of the transition probability matrices?

I think what I’m trying to do is to explain the efficiency of the basic strategy of blackjack, using eigenvectors and eigenvalue. Actually, maybe long-term outcomes aren’t even needed to be analyzed. But the problem is that then it would make no sense, like how likely is outcome predictable when analyzing it with a certain method, “to what extend” means that at the end I should say something like “outcome is/n’t predictable with this method under condition A. But why do I even need condition A in the first place? 

 

Potential shift in RQ: “To what extent can eigenvector and eigenvalue analysis of transition probability matrices explain the efficiency of the basic strategy in blackjack 21?” This RQ focusses more on efficiency of the strategy

 

Also maybe only focus on the hard hands of the basic strategy.

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