The next great contributor was Jacques - Philippe - Marie Binet, (1812) who
stated the theorem relating to the product of two matrices of m-columns and n-
rows, which for the special case of m = n reduces to the multiplication theorem Also on the same day, Cauchy (1812) presented one on the same subject He
used the word ‘determinant’ in its present sense He gave the proof of multiplication
theorem more satisfactory than Binet’s