Matrix Description of Calabi-Yau Compactifications

We point out that the matrix description of $M$ theory compactified on Calabi-Yau threefolds is in many respects simpler than the matrix description of a $T^6$ compactification. This is largely because of the differences between D6-branes wrapped on Calabi-Yau threefolds and D6-branes wrapped on six-tori. In particular, if we define the matrix theory following the prescription on Sen and Seiberg, we find that the remaining degrees of freedom are decoupled from gravity.