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Theory of Matrices

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The main theme of the book is the establishment of the well- known canonical forms. Rank, nonsingularity, and inverses are introduced in connection with the development of canonical matrices under the relation of equivalence, and without the intervention of determinants. Congruence and Hermitian congruence are the next major topics.

Author(s): Sam Perlis
Publisher: Addison- Wesley
Year: 1952

Language: English
Pages: 249
City: Massachusetts
Tags: Linear Algebra, Matrices

Introductory Concepts
Vector Spaces
Equivalence, Rank, and Inverses
Determinants
Congruence
Polynomials
Similarity
Linear Transformations