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A translation matrix is a data construct that facilitates the conversion of symbols and sounds from one language to another. It is a major component of communication systems and devices such as the universal translator.

In 2155 of the mirror universe, Hoshi Sato had to enable the translation matrix in order for Jonathan Archer to communicate with the Gorn slave master Slar. (ENT: "In a Mirror, Darkly, Part II")

Hoshi Sato invented the linguacode translation matrix sometime in the late 2160s. (ENT: "In a Mirror, Darkly, Part II")

Due to its unique syntax and grammatical structure, the spoken language of the Skrreeans was difficult for the universal translator to lock onto and therefore took some time to establish a translation matrix. (DS9: "Sanctuary")

The Emergency Medical Hologram has a built-in translation matrix. In 2375, the Doctor's translation matrix allowed him to understand the duotronic algorithm communication of a Druoda series 5 long-range tactical armor unit. (VOY: "Warhead")

In early 2376, the crew of the USS Voyager unsuccessfully attempted to design a translation matrix that would allow communication with the nucleogenic creatures attacking the ship. (VOY: "Equinox, Part II")

One of the items offered by Abaddon in 2376 was a slightly dated translation matrix. (VOY: "Alice")

The translation matrix may involve the use of the translation algorithm.
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