=+3. Suppose you are given a transition probability matrix P and desire the n-step transition probability matrix
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=+3. Suppose you are given a transition probability matrix P and desire the n-step transition probability matrix P n for a large value of n.
Devise a method of computing P n based on the binary expansion of n that requires far fewer than n − 1 matrix multiplications. Do not assume that P is diagonalizable.
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