Theory of Matrices

Matrix algebra underlies many seemingly diverse theories of mathematics, including bilinear and quadratic forms, linear associative algebra, linear homogenous transformations and linear vector functions. Other branches of mathematics employ certain elements of matrix algebra as well, and this volume offers a concise overview of matrix algebra's many applications, discussing topics of extensive research and supplying brief and elegant proofs. Its contents include reviews of matrices, arrays, and determinants; the characteristic equation; associated integral matrices; equivalence, congruence, and similarity; composition of matrices; matric equations; functions of matrices; and matrices of infinite order. 1946 ed.MacDuffee, C. C. is the author of 'Theory of Matrices', published 2004 under ISBN 9780486495903 and ISBN 0486495906.