algorithm - Sum of elements in the power of a matrix -

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given matrix a, effective method 1 can obtain sum of elements of a^n?
thinking of property related matrices solve problem without carrying out n multiplications find a^n.

to n-th power of matrix, need log(n) matrix multiplications using exponentiation squaring approach.

p.s. doubt formula or property sum of elements in power of matrix exist - mathematicians discuss estimation specific kinds of matrices


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