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A procedure for computing the resolution function for a time-of-flight hybrid neutron spectrometer with crystal monochromator and chopper using the matrix computation technique is presented. A brief general description of the matrix computation technique and the computer program HYBR, implementing the matrix procedure, are also presented. Some ideal focusing conditions deduced by compensating the major contributions to the variances of the scan variable are given; these ideal conditions can be used as a zeroth-order approximation in a numerical optimization procedure.