This paper proposes a multiple-input versatile matrix converter (VMC) for integrating hybrid ac/dc energy resources and storages to the power grid. The VMC is developed from the traditional indirect matrix converter but operates in the reverse-boost mode rather than in the forward-buck mode. The reverse-boost mode is more relevant here since most renewable sources and energy storages have lower voltages than the grid. The eventual VMC developed uses an alternative nine-switch converter, rather than usual six-switch voltage-source converter, for providing six input terminals in total. One three-phase ac source and three dc sources, or other source combinations, can therefore be connected to the VMC. Powers from these sources are channeled to the three-phase utility grid through the VMC's current-source inverter. Their proper dispatches are guaranteed by the proposed control and modulation schemes, which also help maintain near-sinusoidal input and output current waveforms. Mathematical proofs, simulation, and experimental results have shown that the VMC can indeed operate as intended.