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An Introduction to the Theory of Canonical Matrices

An Introduction to the Theory of Canonical Matrices

Hardcover

Series: Dover Phoenix Editions

General Mathematics

Currently unavailable to order

ISBN10: 0486441687
ISBN13: 9780486441689
Publisher: Dover Pubn Inc
Pages: 200
Weight: 0.85
Height: 0.73 Width: 6.54 Depth: 8.88
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 from definitions and fundamental properties of matrices to the practical applications of their reduction to canonical forms.
Beginning with matrix multiplication, reciprocals, and partitioned matrices, the text proceeds to elementary transformations and bilinear and quadratic forms. A discussion of the canonical reduction of equivalent matrices follows, including treatments of general linear transformations, equivalent matrices in a field, the H. C. F. process for polynomials, and Smith s canonical form for equivalent matrices. Subsequent chapters treat subgroups of the group of equivalent transformations and collineatory groups, discussing both rational and classical canonical forms for the latter.

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General Mathematics