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Zhang recently derived upper and lower bounds on the achievable diversity of an NR timesNT i.i.d. Rayleigh fading multiple antenna system using transmit antenna selection, spatial multiplexing and a linear receiver structure. For the case of L = 2 transmitting (out of NT available) antennas the bounds are tight and therefore specify the maximal diversity order. For the general case with L les min(NR ldrNT) transmitting antennas it was conjectured that the maximal diversity is (NT-L+1)(NR-L+1) which coincides with the lower bound. Herein, we prove this conjecture for the zero forcing and zero forcing decision feedback (with optimal detection ordering) receiver structures.