Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
5th Edition
ISBN: 9780980232776
Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
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Chapter 6.3, Problem 27PS
To determine

The solution x(t),y(t) that gets large as t and the reason how it become stable by just changing the order of derivative in the following way

   dxdt=0x4ydydt=2x+2ybecomesdydt=2x+2ydxdt=0x4y

With coefficient matrix [2204], which is stable because of negative eigenvalues.

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Chapter 6 Solutions

Introduction to Linear Algebra, Fifth Edition

Ch. 6.1 - Prob. 11PSCh. 6.1 - Prob. 12PSCh. 6.1 - Prob. 13PSCh. 6.1 - Prob. 14PSCh. 6.1 - Prob. 15PSCh. 6.1 - Prob. 16PSCh. 6.1 - Prob. 17PSCh. 6.1 - Prob. 18PSCh. 6.1 - Prob. 19PSCh. 6.1 - Prob. 20PSCh. 6.1 - Prob. 21PSCh. 6.1 - Prob. 22PSCh. 6.1 - Prob. 23PSCh. 6.1 - Prob. 24PSCh. 6.1 - Prob. 25PSCh. 6.1 - Prob. 26PSCh. 6.1 - Prob. 27PSCh. 6.1 - Prob. 28PSCh. 6.1 - Prob. 29PSCh. 6.1 - Prob. 30PSCh. 6.1 - Prob. 31PSCh. 6.1 - Prob. 32PSCh. 6.1 - Prob. 33PSCh. 6.1 - Prob. 34PSCh. 6.1 - Prob. 35PSCh. 6.1 - Prob. 36PSCh. 6.1 - Prob. 37PSCh. 6.1 - Prob. 38PSCh. 6.2 - Prob. 1PSCh. 6.2 - Prob. 2PSCh. 6.2 - Prob. 3PSCh. 6.2 - Prob. 4PSCh. 6.2 - Prob. 5PSCh. 6.2 - Prob. 6PSCh. 6.2 - Prob. 7PSCh. 6.2 - Prob. 8PSCh. 6.2 - Prob. 9PSCh. 6.2 - Prob. 10PSCh. 6.2 - Prob. 11PSCh. 6.2 - Prob. 12PSCh. 6.2 - Prob. 13PSCh. 6.2 - Prob. 14PSCh. 6.2 - Prob. 15PSCh. 6.2 - Prob. 16PSCh. 6.2 - Prob. 17PSCh. 6.2 - Prob. 18PSCh. 6.2 - Prob. 19PSCh. 6.2 - Prob. 20PSCh. 6.2 - Prob. 21PSCh. 6.2 - Prob. 22PSCh. 6.2 - Prob. 23PSCh. 6.2 - Prob. 24PSCh. 6.2 - Prob. 25PSCh. 6.2 - Prob. 26PSCh. 6.2 - Prob. 27PSCh. 6.2 - Prob. 28PSCh. 6.2 - Prob. 29PSCh. 6.2 - Prob. 30PSCh. 6.2 - Prob. 31PSCh. 6.2 - Prob. 32PSCh. 6.2 - Prob. 33PSCh. 6.2 - Prob. 34PSCh. 6.2 - Prob. 35PSCh. 6.2 - Prob. 36PSCh. 6.2 - Prob. 37PSCh. 6.2 - Prob. 38PSCh. 6.2 - Prob. 39PSCh. 6.3 - Prob. 1PSCh. 6.3 - Prob. 2PSCh. 6.3 - Prob. 3PSCh. 6.3 - Prob. 4PSCh. 6.3 - Prob. 5PSCh. 6.3 - Prob. 6PSCh. 6.3 - Prob. 7PSCh. 6.3 - Prob. 8PSCh. 6.3 - Prob. 9PSCh. 6.3 - Prob. 10PSCh. 6.3 - Prob. 11PSCh. 6.3 - Prob. 12PSCh. 6.3 - Prob. 13PSCh. 6.3 - Prob. 14PSCh. 6.3 - Prob. 15PSCh. 6.3 - Prob. 16PSCh. 6.3 - Prob. 17PSCh. 6.3 - Prob. 18PSCh. 6.3 - Prob. 19PSCh. 6.3 - Prob. 20PSCh. 6.3 - Prob. 21PSCh. 6.3 - Prob. 22PSCh. 6.3 - Prob. 23PSCh. 6.3 - Prob. 24PSCh. 6.3 - Prob. 25PSCh. 6.3 - Prob. 26PSCh. 6.3 - Prob. 27PSCh. 6.3 - Prob. 28PSCh. 6.3 - Prob. 29PSCh. 6.3 - Prob. 30PSCh. 6.3 - Prob. 31PSCh. 6.3 - Prob. 32PSCh. 6.4 - Prob. 1PSCh. 6.4 - Prob. 2PSCh. 6.4 - Prob. 3PSCh. 6.4 - Prob. 4PSCh. 6.4 - Prob. 5PSCh. 6.4 - Prob. 6PSCh. 6.4 - Prob. 7PSCh. 6.4 - Prob. 8PSCh. 6.4 - Prob. 9PSCh. 6.4 - Prob. 10PSCh. 6.4 - Prob. 11PSCh. 6.4 - Prob. 12PSCh. 6.4 - Prob. 13PSCh. 6.4 - Prob. 14PSCh. 6.4 - Prob. 15PSCh. 6.4 - Prob. 16PSCh. 6.4 - Prob. 17PSCh. 6.4 - Prob. 18PSCh. 6.4 - Prob. 19PSCh. 6.4 - Prob. 20PSCh. 6.4 - Prob. 21PSCh. 6.4 - Prob. 22PSCh. 6.4 - Prob. 23PSCh. 6.4 - Prob. 24PSCh. 6.4 - Prob. 25PSCh. 6.4 - Prob. 26PSCh. 6.4 - Prob. 27PSCh. 6.4 - Prob. 28PSCh. 6.4 - Prob. 29PSCh. 6.4 - Prob. 30PSCh. 6.4 - Prob. 31PSCh. 6.4 - Prob. 32PSCh. 6.4 - Prob. 33PSCh. 6.4 - Prob. 34PSCh. 6.4 - Prob. 35PSCh. 6.4 - Prob. 36PSCh. 6.4 - Prob. 37PSCh. 6.5 - Prob. 1PSCh. 6.5 - Prob. 2PSCh. 6.5 - Prob. 3PSCh. 6.5 - Prob. 4PSCh. 6.5 - Prob. 5PSCh. 6.5 - Prob. 6PSCh. 6.5 - Prob. 7PSCh. 6.5 - Prob. 8PSCh. 6.5 - Prob. 9PSCh. 6.5 - Prob. 10PSCh. 6.5 - Prob. 11PSCh. 6.5 - Prob. 12PSCh. 6.5 - Prob. 13PSCh. 6.5 - Prob. 14PSCh. 6.5 - Prob. 15PSCh. 6.5 - Prob. 16PSCh. 6.5 - Prob. 17PSCh. 6.5 - Prob. 18PSCh. 6.5 - Prob. 19PSCh. 6.5 - Prob. 20PSCh. 6.5 - Prob. 21PSCh. 6.5 - Prob. 22PSCh. 6.5 - Prob. 23PSCh. 6.5 - Prob. 24PSCh. 6.5 - Prob. 25PSCh. 6.5 - Prob. 26PSCh. 6.5 - Prob. 27PSCh. 6.5 - Prob. 28PSCh. 6.5 - Prob. 29PSCh. 6.5 - Prob. 30PSCh. 6.5 - Prob. 31PSCh. 6.5 - Prob. 32PSCh. 6.5 - Prob. 33PSCh. 6.5 - Prob. 34PSCh. 6.5 - Prob. 35PSCh. 6.5 - Prob. 36PSCh. 6.5 - Prob. 37PS
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