An English mathematician and lawyer named Arthur Cayley (1821-1895), who was the first one to publish an abstract definition of a matrix in his Memoir on the Theory of Matrices in the year 1858, thus establishing it as a branch of mathematics.

So this man was the father of the matrix. Applications of matrices can be easily found in most scientific fields. Matrices have their use in every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics; they are used to study physical phenomena, such as the motion of rigid bodies.