{{0,0,0,1}} . (MatrixPower[{{0, 0, 0, 0}, {1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}} + {{25, 0, 0, 0}, {0, 25, 0, 0}, {0, 0, 25, 0}, {0, 0, 0, 26}}, 8]) . {{1}, {0}, {0}, {0}}