A teleportation matrix is an alien technology used for transportation from sector to sector in Mothership Zeta. Every teleportation matrix connects to another one and allows instant travel between the two.
Although each teleportation matrix can only be used for traveling to one other matrix, it appears that multiple matrices may connect to the same target and that the connection is not necessarily a two-way one. As an example, the matrix on the bridge can be reached from a matrix in the living quarters but it cannot be used to travel back. The same matrix on the bridge can also be reached from another one in the engineering core.