Let A = [a(ij)] be a real matrix of ord...

Let `A = [a_(ij)]` be a real matrix of order `3 xx 3`, such that `a_(i1) + a_(i2) + a_(i3) = 1`, for i = 1, 2, 3. Then, the sum of all entries of the matrix `A^(3)` is equal to :

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