According to the pilot, as he was landing the multi-engine airplane, the airplane suddenly turned to the left, towards the edge of the runway. The pilot added that he and the flight instructor tried to correct the problem by adding rudder. Subsequently, the airplane's wing lifted and the airplane began to "wheelbarrow" on the nose landing gear. The pilot added that as he and the instructor tried to regain control, the airplane's left and right landing gear collapsed. The airplane came to rest on its belly, in the grass on the east side of the runway.