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The functional relation between u,v and w

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Independence and relations
Real Analysis
Jacobians (IV)

If u = x + y + z, v = x^2 + y^2 + z^2, w = x^3 + y^3 + z^3 - 3xyz
Show that u,v,w are connected by a functional relation. Also find that relation between u,v and w.

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This shows how to find the functional relation between u,v and w by using the Jacobian of the functions. It also explains for the condition of not independent
by using the Jacobian of the functions. The solution is detailed and well presented.

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Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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