This definitive presentation of matrix theory is the work of one of Americars"s most significant contributors to this area. The first three chapters take matrix theory up to elementary divisors, proceeding to examinations of vector polynomials and singular matric polynomials. A discussion of compound matrices follows, succeeded by considerations of Hermitian, symmetric, and skew matrices, with a number of interesting proofs of properties. Subsequent chapters are devoted to commutative matrices, matrix functions, and the automorphic transformation of a bilinear form. The final chapter offers a masterly handling of linear associative algebras. 1934 ed.Wedderburn, J. H. M. is the author of 'Lectures on Matrices', published 2004 under ISBN 9780486441672 and ISBN 0486441679.