Arthur Cayley was an English mathematician who showed early signs of genius. He attended Trinity College, Cambridge where he excelled in mathematics. After graduating, he began publishing prolificly but was unable to find an academic position, so he pursued law instead. While practicing law, he continued publishing mathematical works. In 1863, he was appointed professor of mathematics at Cambridge, where he remained until his death. Cayley made significant contributions across many areas of mathematics and is especially remembered for his work in linear algebra and introducing matrix theory.