Undergraduate-level introduction to linear algebra and matrix theory deals with matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials, and polynomial matrices. Also spectral decomposition, Jordan canonical form, solution of the matrix equation AX=XB, and over 375 problems, many with answers. 1972 edition.
Matrices and Transformations by Anthony J. Pettofrezzo Elementary, concrete approach: fundamentals of matrix algebra, linear transformation of the plane, application of properties of eigenvalues and eigenvectors to study of conics. Includes proofs of most theorems. Answers to odd-numbered exercises.
Elementary Matrix Theory by Howard Eves Concrete treatment of fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, and similarity and congruence. Each chapter has many excellent problems and optional related information. No previous course in abstract algebra required.
A Survey of Matrix Theory and Matrix Inequalities by Marvin Marcus, Henryk Minc Concise yet comprehensive survey covers broad range of topics: convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, much more. Undergraduate-level. 1969 edition. Bibliography.
Continuous Groups of Transformations by Luther Pfahler Eisenhart Intensive study of theory and geometrical applications of continuous groups of transformations features discussions of tensor analysis, Riemannian geometry, and applications of theory of continuous groups to modern physics. 1933 edition.
