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Linear AlgebraChallengeSymmetric Matrices & Quadratic Forms

Symmetric Matrices & Quadratic Forms · Challenge problem

Find the minimum value of f(x,y,z)=x2+y2+z2+xy+yz+zx−2x−4zf(x, y, z) = x^2 + y^2 + z^2 + xy + yz + zx - 2x - 4z over all of R3\mathbb R^3.