In mathematics, the term **Cartan matrix** has three meanings. All of these are named after the French mathematician Élie Cartan. In fact, Cartan matrices in the context of Lie algebras were first investigated by Wilhelm Killing, whereas the Killing form is due to Cartan.

Read more about Cartan Matrix: Lie Algebras, Representations of Finite-dimensional Algebras, Cartan Matrices in M-theory

### Famous quotes containing the word matrix:

““The *matrix* is God?”

“In a manner of speaking, although it would be more accurate ... to say that the *matrix* has a God, since this being’s omniscience and omnipotence are assumed to be limited to the *matrix*.”

“If it has limits, it isn’t omnipotent.”

“Exactly.... Cyberspace exists, insofar as it can be said to exist, by virtue of human agency.””

—William Gibson (b. 1948)