Jordan Canonical Form

Jordan Canonical Form

Application to Differential Equations

Steven H. Weintraub
ISBN: 9781598298048 | PDF ISBN: 9781598298055
Copyright © 2008 | 85 Pages | Publication Date: 01/01/2008

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Jordan Canonical Form (JCF) is one of the most important, and useful, concepts in linear algebra. The JCF of a linear transformation, or of a matrix, encodes all of the structural information about that linear transformation, or matrix. This book is a careful development of JCF. After beginning with background material, we introduce Jordan Canonical Form and related notions: eigenvalues, (generalized) eigenvectors, and the characteristic and minimum polynomials. We decide the question of diagonalizability, and prove the Cayley-Hamilton theorem.

Table of Contents

Jordan Canonical Form
Solving Systems of Linear Differential Equations
Background Results: Bases, Coordinates, and Matrices
Properties of the Complex Exponential

About the Author(s)

Steven H. Weintraub, Lehigh University

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