A motor driving apparatus including an inverter having a plurality of switching devices, wherein the inverter converts a direct current (DC) power into an alternating current (AC) power according to switching of the switching devices and supplies the AC power to a motor, and a controller to control the inverter, wherein the controller performs a control operation such that a switching frequency of the respective switching devices of the inverter remains constant in a first mode corresponding to a motor operation mode and performs a control operation to change the switching frequency of the respective switching devices of the inverter in a second mode corresponding to a sound output mode for fault diagnosis to output sound corresponding to the changed switching frequency.