An Introduction to the Theory of Canonical Matrices

Nonfiction, Science & Nature, Mathematics, Matrices
Cover of the book An Introduction to the Theory of Canonical Matrices by H. W. Turnbull, A. C. Aitken, Dover Publications
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Author: H. W. Turnbull, A. C. Aitken ISBN: 9780486153469
Publisher: Dover Publications Publication: March 5, 2014
Imprint: Dover Publications Language: English
Author: H. W. Turnbull, A. C. Aitken
ISBN: 9780486153469
Publisher: Dover Publications
Publication: March 5, 2014
Imprint: Dover Publications
Language: English
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 equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. The final chapters explore several methods of canonical reduction, including those of unitary and orthogonal transformations. 1952 edition. Index. Appendix. Historical notes. Bibliographies. 275 problems.
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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 equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. The final chapters explore several methods of canonical reduction, including those of unitary and orthogonal transformations. 1952 edition. Index. Appendix. Historical notes. Bibliographies. 275 problems.

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