A drivetrain for linear movement of a machine component along a linear guide of a machine includes a motor with a motor-measuring system. A length-measuring system is assigned to the linear guide for determining a position of the machine component. To determine rigidity of the drivetrain, a constant acceleration for the machine component is predetermined by a numerical controller for performing closed-loop control of the movement of the machine component. The numerical controller determines a difference between a position of the machine component derived from the motor-measuring system and a position of the machine component measured at the same time by the length-measuring system during the acceleration phase, and the difference is assigned to the acceleration or to a force required for the acceleration and storage in the numerical controller of the pair of values established in this way and/or of a rigidity value emanating from the pair of values.