A technique for evaluating the transition matrix Akof a linear sequential machine has been given by Seherba and Roesser by transforming matrix A into a matrix ARin the real field, finding the powers ARkof.ARIn in the real field and then transforming ARkback to finite field. A technique for the same problem is suggested by carrying out all the computations in the finite field only, thus avoiding the cumbersomeness of the earlier technique.