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We are given a non-linear system:

$4x_1 − x_2 + x_3 = x_1x_4,$

$−x_1 + 3x_2 − 2x_3 = x_2x_4$

$x_1 − 2x_2 + 3x_3 = x_3x_4$

$x_1^2 + x_2^2 + x_3^2 = 1$

And the question asks: Show how to solve the nonlinear system via the computation of all the eigenvalues and eigenvectors of a 3 × 3 matrix

It is likely the question asks for a numerical method.

If you can provide some hint beofore 8am, PST, I would really appreciate it:)

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    Why, is that the time your homework is due?2012-05-08
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    It was the exam time. This was a problem in the practice exam.2012-05-21
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    Good. I hope you did well.2012-05-21

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