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Math / Linear Algebra and Its Applications 5 / Chapter 5.7 / Problem 16E

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

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In Exercises 9–18, construct the general

Chapter 5, Problem 16E

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QUESTION:

Problem 16E

In Exercises 9–18, construct the general solution of involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories.

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QUESTION:

Problem 16E

In Exercises 9–18, construct the general solution of involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories.

ANSWER:

Solution 16E

Step 1

Consider the matrix differential equation:

, where

The objective is to find the general solution of the differential equation.

Use the Maple to find the eigenvalues and the corresponding Eigen vectors the matrix :

Maple Input to enter the matrix A.

Maple Output

Maple Input to find the Eigen values of A.

Maple Out:

Maple Input to find the Eigen vectors of A for the corresponding Eigen values.

Maple Out:

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