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By Subject > Science and Mathematics > Mathematics > Matrix Theory
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 Thorough and self-contained, this penetrating study of the theory of canonical matrices presents a detailed consideration of all the theory’s principal features. Topics include elementary transformations and bilinear and quadratic forms; canonical reduction of equivalen...
all books in Matrix Theory
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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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|  | An Introduction to the Theory of Canonical Matrices by H. W. Turnbull, A. C. Aitken Thorough and self-contained, this penetrating study of the theory of canonical matrices presents a detailed consideration of all the theory’s principal features. Topics include elementary transformations and bilinear and quadratic forms; canonical reduction of equivalen... read more
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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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|  | 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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