Exceptionally useful text focuses on the establishment of the well-known canonical forms. Rank, nonsingularity and inverses are introduced in connection with the development of canonical matrices under the relation of equivalence, and without the intervention of determinants. Congruence and Hermitian congruence also treated in detail. Carefully chosen proofs and examples illustrate definitions and theorems. Exercises. 1952 edition. References.Perlis, Sam is the author of 'Theory of Matrices', published 1991 under ISBN 9780486668109 and ISBN 048666810X.