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Recommendations... 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.
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| |  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.
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 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.
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| |  Matrix Theory
by Joel N. Franklin
Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.
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 Applications of the Theory of Matrices
by F. R. Gantmacher
This text surveys complex symmetric, antisymmetric, and orthogonal matrices; singular bundles of matrices; matrices with nonnegative elements; applications of matrix theory to linear differential equations; and the Routh-Hurwitz problem. 1959 edition.
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 The Theory of Matrices in Numerical Analysis
by Alston S. Householder
This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.
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| |  An Introduction to the Theory of Canonical Matrices
by H. W. Turnbull, A. C. Aitken
Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. 1952 edition. 275 problems.
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Products in Matrix Theory | | | | Applications of the Theory of Matrices
by F. R. Gantmacher
This text surveys complex symmetric, antisymmetric, and orthogonal matrices; singular bundles of matrices; matrices with nonnegative elements; applications of matrix theory to linear differential equations; and the Routh-Hurwitz problem. 1959 edition.
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| | 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.
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|  | Introduction to Matrices and Linear Transformations: Third Edition
by Daniel T. Finkbeiner, II
This versatile undergraduate-level text contains enough material for a one-year course and serves as a support text and reference. It combines formal theory and related computational techniques. Solutions to selected exercises. 1978 edition.
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|  | Introduction to Matrices and Vectors
by Jacob T. Schwartz
In this concise undergraduate text, the first three chapters present the basics of matrices — in later chapters the author shows how to use vectors and matrices to solve systems of linear equations. 1961 edition.
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| | An Introduction to the Theory of Canonical Matrices
by H. W. Turnbull, A. C. Aitken
Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. 1952 edition. 275 problems.
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|  | Lambda-Matrices and Vibrating Systems
by Peter Lancaster
Features aspects and solutions of problems of linear vibrating systems with a finite number of degrees of freedom. Starts with development of necessary tools in matrix theory, followed by numerical procedures for relevant matrix formulations.
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|  | Linear Algebra and Matrix Theory
by Robert R. Stoll
One of the best available works on matrix theory in the context of modern algebra, this text bridges the gap between ordinary undergraduate studies and completely abstract mathematics. 1952 edition.
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| | 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.
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| | 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.
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| | Matrix Theory
by Joel N. Franklin
Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.
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| |  | 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.
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| | The Theory of Matrices in Numerical Analysis
by Alston S. Householder
This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.
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|  | Vector Spaces and Matrices
by Robert M. Thrall, Leonard Tornheim
Students receive the benefits of axiom-based mathematical reasoning as well as a grasp of concrete formulations. Suitable as a primary or supplementary text for college-level courses in linear algebra. 1957 edition.
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