Electrical Drive Unit for a Motor Vehicle and Motor Vehicle

An electric drive unit for a motor vehicle includes an electrical machine having a stator and a rotor. An inverter having a first switch unit energizes a first phase system (U, V, W) of the stator. A transmission is connected to the rotor for torque transmission. A lubricant circuit lubricates the transmission and/or cools the rotor. A first cooling circuit cools the first switch unit. A lubricant-coolant heat exchanger thermally couples the first coolant circuit and the lubricant circuit. A control device provides a dissipation-increasing operating mode for the first switch unit in order to increase a dissipation heating a coolant of the first coolant circuit. The lubricant-coolant heat exchanger transfers heat from the heated coolant to the lubricant circuit in order to reduce a viscosity of a lubricant.