# Homogeneous system

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Solve the linear homogeneous system...(see attached)

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##### Solution Summary

This provides an example of solving a linear homogeneous system by determining eigenvalues and eigenvectors.

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the characteristic polynomial of the given matrix is

(x - 1)(x + 3) + 5 = 0,

hence the eigenvalues are -1 +/- i = a +/- bi, where a = -1 and b = 1.

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