(Solution Library) Consider the function f(x, y)=x^2+y^2+x y as a quadratic form. Use orthonormal diagonalisation to find the maximum and minimum values
Question: Consider the function \(f(x, y)=x^{2}+y^{2}+x y\) as a quadratic form. Use orthonormal diagonalisation to find the maximum and minimum values of \(f\) on the unit circle \(x^{2}+y^{2}=1\)
Use Lagrange Multipliers to do the same thing, and compare your results.
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[Solution Library] Evaluate ∫_R(x^2+y^2+z^2) d x d y d z where
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