TY - BOOK AU - Gantmakher, F. R. AU - Gantmakher, F. R TI - The Theory of Matrices, SN - 9781470409166 U1 - 512.896 GAN PY - 1959/// CY - New York PB - American Mathematical Society KW - Mathematics KW - Algebra KW - Matrices KW - Matrix N1 - I. Matrices and operations on matrices -- II. The algorithm of Gauss and some of its applications -- III. Linear operators in an n-dimensional vector space -- IV. The characteristic polynomial and the minimal polynomial of a matrix -- V. Functions of matrices -- VI. Equivalent transformations of polynomial matrices: Analytic theory of elementary divisors -- VII. The structure of a linear operator in an n-dimensional space -- VIII. Matrix equations -- IX. Linear operators in a unitary space -- X. Quadratic and Hermitian forms -- Volume 2: -- XI. Complex symmetric, skew-symmetric, and orthogonal matrices -- XII. Singular pencils of matrices -- XIII. Matrices with non-negative elements -- XIV. Applications of the theory of matrices to the investigation of systems of linear differential equations -- XV. The problem of Routh-Hurwitz and related questions N2 - This text presents an examination of the theory of matrices ER -