Methods and apparatus are disclosed for predistorting input data signals to a MIMO transmitter to compensate for distortions introduced by the MIMO transmitter. Distortions introduced to data signals by a MIMO transmitter include crosstalk between multiple transmit paths and non-linearities introduced by power amplifiers. In an exemplary predistorter, post-amplifier crosstalk is compensated for by a first matrix operation before distortions introduced by power amplifiers are predistorted by power amplifier predistorters. After the power amplifier predistorters, pre-amplifier crosstalk is compensated for by a second matrix operation.