Question: Let Q(x) = -3x 1 2 - 4x 2 2 + 4x 1 x 2 - 4x 2 x 3 . Find a unit vector

Let Q(x) = -3x12 - 4x22 + 4x1x2 - 4x2x3. Find a unit vector x in R3 at which Q(x) is maximized, subject to xTx = 1.

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