2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187197A finite expansion of the exponential map for a $N\times N$ matrix is presented. The method uses the Cayley-Hamilton theorem for writing the higher matrix powers in terms of the first N-1 ones. The resulting sums over the corresponding coefficients are rational functions of the eigenvalues of the matrix.14 pages, latex, no figuresHigh Energy Physics - TheoryQuantum Physicstext