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Eigenvectors and Eigenvalues

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Given the following 3X3 matrix find the eigenvalues and eigenvectors. Please solve by hand before checking with a computer program!

[(5,0,2),(0,3,0),(2,0,5)]

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Eigenvectors and eigenvalues are found. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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The eigenvalues are given by solving the equation:
Expanding the determinant gives: (3 -
Or (3 - )[( )2 - 4] ...

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