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Linear AlgebraChallengeSymmetric Matrices & Quadratic Forms

Symmetric Matrices & Quadratic Forms · Challenge problem

Find the maximum of q(x,y,z)=x2+2y2+3z2q(x, y, z) = x^2 + 2y^2 + 3z^2 subject to x2+y2+z2=1x^2 + y^2 + z^2 = 1 and x+y+z=0x + y + z = 0.