How do I perform eigenvalue analysis for a matrix without mathematical software?

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SUMMARY

The discussion focuses on performing eigenvalue analysis for a specific matrix using MATLAB or alternative methods. The matrix provided is: [[-1, 0.02, -0.01], [0.02, -2, 0], [-0.01, 0, -1]]. The calculated eigenvalues are {-2.0004, -1.0098, -0.9898} and the corresponding eigenvectors are {{-0.01999, 0.9998, -0.00019982}, {0.699861, 0.0141357, 0.714139}, {0.713999, 0.0141358, -0.700004}}. The user GG requested assistance due to the lack of mathematical software.

PREREQUISITES
  • Understanding of eigenvalues and eigenvectors
  • Familiarity with matrix operations
  • Basic knowledge of MATLAB or numerical computation tools
  • Experience with numerical methods for linear algebra
NEXT STEPS
  • Learn how to perform eigenvalue analysis using MATLAB's eig function
  • Explore numerical methods for eigenvalue problems in Python using NumPy
  • Study the application of eigenvalues in stability analysis of systems
  • Investigate alternative software options for matrix analysis, such as Octave or R
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This discussion is beneficial for students, researchers, and professionals in mathematics, engineering, and data science who need to perform eigenvalue analysis without access to specialized mathematical software.

uiulic
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Could somebody help me do an engenvalue analysis for the following matrix? using Matlab or anything else if possible just in order to get the engenvalues and the corresponding engen vectors.

-1 0.02 -0.01
0.02 -2 0
-0.01 0 -1

Thanks very much

GG
 
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Eigenvalues
{-2.0004, -1.0098, -0.9898}

With eigenvectors
{-0.01999, 0.9998, -0.00019982},
{0.699861, 0.0141357, 0.714139},
{0.713999, 0.0141358, -0.700004}}

Don't you have the means to do this numerically yourself?
 
Compuchip,

Thank you! I have no mathematical software installed.

GG
 

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