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Binet worked on the foundations of matrix theory. In 1812 he discovered the familiar rule for matrix multiplication.
Binet was a student at the École Polytechnique in Paris and after graduating he worked for the Department of Bridges and Roads of the French government.
He became a teacher and inspector general at École Polytechnique before being appointed to the chair of astronomy at the Collège de France in 1823.
Binet investigated the foundations of matrix theory which was to set the scene for later work by Cayley and others. He discovered the rule for multiplying matrices in 1812.
He wrote a number of important papers, in particular he wrote Mémoire sur les intégrales définies eulériennes in 1840.
Binet wrote on topics other than mathematics. His other contributions were in the fields of physics and astronomy.
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