Consider the quadratic form Q(x, y, z) = x^2 - 2xy + 4xz + 3y^2 - 6yz - 2z^2 (a) Express Q as the difference of two sums of perfect squares with positive coefficients. (b) Use your answer in (a) to classify the critical point of f(x, y, z) = 12 + x^2 - 2xy + 4xz + 3y^2 - 6yz - 2z^2, at (0, 0, 0)
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