This text stresses the use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.
Matrices and Linear Transformations: Second Edition by Charles G. Cullen Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.
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.
