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In recent years, there has been broad research interest in the development of beamforming and precoding techniques for MIMO wireless communication systems. Most existing works focus on the single transmission session between transceivers. We expand the MIMO precoder design to take into account the significant role that ARQ (Automatic Repeat reQuest) may play in practical systems. We investigate the design of linear precoders for maximizing the ergodic capacity of MIMO-ARQ systems. Without the precise channel knowledge, our low complexity precoder designs are based on MIMO channel statistic information to achieve significant performance gain under ARQ.