Puzzle 3
by Ondra Karas

The object of the puzzle is to move through the grid from (1,1) to (9,9).
The moves come from multiplication by the matrices in the given list of
matrices.  

For example, starting from (1,1) one can move to (2,3) via the third matrix,
or (1,2) via the fifth matrix; none of the other matrices can be used, because
they would move off the grid of lattice points with coordinates between 1 and 9.

There is exactly one way to get from (1,1) to (9,9), by moving from

(1,1) to (1,2) to (5,2) to (2,3) to (3,1) to (3,6) to (6,3) to (9,9)	
via matrix #5,       4        7        1        6        2        3

The letters that one lands on spell, in order, the answer AYOTTE.