It is shown that the system zeros of the linear multivariable system can be determinted as the finite eigenvalues (eigenvalues) of a reduced-order linear matrix pencil (matrix). Such an approach for system zero calculation decreases considerably the computational difficulties. Moreover, the special structure of the reduced order matrix pencil (matrix) which depends directly on Markov matrices HB, HAB, HA2B,… can be used for the analysis of the system invertibility, the number of system zeros, etc.