TITLE: The contributions of James Sylvester to linear algebra.
QUESTION [6 upvotes]: The claim is James Sylvester and Arthur Cayley are the fathers of Linear Algebra. I can find the various parts that Cayley contributed to Linear Algebra, but there is not much on the contributions made by Sylvester. Does anyone have this information and direct me to resources on this? I only want his contribution to LA.

REPLY [2 votes]: This may be more than you want, but Karen Parshall has written two history of mathematics books on Sylvester which definitely include the information you want.
James Joseph Sylvester: Life and Work in Letters (Oxford University Press, 1998)
James Joseph Sylvester: Victorian, Jew, Mathematician (Johns Hopkins University Press, 2006)