Explanation Approach: Given a square matrix A of order n . The Eigen value problem is to find all the scalars λ such that the equation A x = λ x has a solution, x , where x ≠ 0. We call the vector x of order ( n × 1 ) as eigenvector and λ as its corresponding eigenvalue. The eigenvalues and vectors can be easily found by using linear algebra software like matlab, octave, etc. The command " [ V, D ] = eig ( A ) " in the linear algebra software produces two matrices D and V such that A V = D V or V − 1 A V = D . Here, D is a diagonal matrix in which the diagonal elements represents the eigenvalues and the matrix V represents the corresponding eigenvectors. Given Information: A = [ 5 − 1 0 8 3 6 8 − 3 1 1 4 2 9 7 6 9 ] Calculation: In the linear algebra software, enter the given matrix as follows and press enter key. A = [ 5 , − 1 , 0 , 8 ; 3 , 6 , 8 , − 3 ; 1 , 1 , 4 , 2 ; 9 , 7 , 6 , 9 ] The software will display the matrix in the screen as follows: Figure 1 Now enter the command " [ V, D ] = eig ( A ) " and press enter key

Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

5th Edition

ISBN: 9780134689531

Author: Lee Johnson, Dean Riess, Jimmy Arnold

Publisher: PEARSON

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Chapter 4.6, Problem 33E

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Chapter 4.6, Problem 32E

Chapter 4.6, Problem 34E

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The eigenvalue and eigenvectors of [ 5 − 1 0 8 3 6 8 − 3 1 1 4 2 9 7 6 9 ] using linear algebra software.

Solution Summary: The author explains how the Eigen value problem is to find all the scalars lambda such that the equation Ax=

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To Find:

The eigenvalue and eigenvectors of [5−108368−311429769] using linear algebra software.

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Chapter 4 Solutions

The eigenvalue and eigenvectors of [ 5 − 1 0 8 3 6 8 − 3 1 1 4 2 9 7 6 9 ] using linear algebra software.

Solution Summary: The author explains how the Eigen value problem is to find all the scalars lambda such that the equation Ax=

Videos

To Find: The eigenvalue and eigenvectors of [5−108368−311429769] using linear algebra software.

Want to see the full answer?

Chapter 4 Solutions

To Find:

The eigenvalue and eigenvectors of [5−108368−311429769] using linear algebra software.