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Consider a diagonalizable 3 x 3 matrix A such that the zero state is a stable

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 18 Chapter 9.2

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 18

Consider a diagonalizable 3 x 3 matrix A such that the zero state is a stable equilibrium solution of the system dx/dt = Ax. What can you say about the determinant and the trace of A?

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Chapter 9.2, Problem 18 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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Consider a diagonalizable 3 x 3 matrix A such that the zero state is a stable