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What are conjugate vectors? Can I have an example of it?

[ This question is in respect to finding the roots of equations with conjugate direction methods]

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Perhaps you can give a little more context: are you talking of complex vectors, do you some inner product...? –  DonAntonio Oct 12 '13 at 19:41
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If you only are interested in roots of polynomials (but then I can't understand why the "vectors" thing...), then all the roots of some given, fixed irreducible polynomial over some given field are called conjugate (elements, roots, etc.)

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