In this paper, two hop non-regenerative Multiple Input Multiple Output (MIMO) relay network is considered. Each node of the network is equipped with multiple antennas. They apply an efficient linear processing at the relay node only. They utilize Minimum Mean Square Error (MMSE) as the relay receive beamforming and Per-Antenna-Signal to Leakage plus Noise Ratio (PA-SLNR) maximization criteria using Fukunaga Koontz Transform (FKT) is considered to generate relay downlink precoding to mitigate the interference due to the leakage signal. The relay acquires perfect channel state information of the channel between source to relay and relay to the destination.