(Review) Another quadratic that certainly has its minimum at Ax = b is Q(x) = 1 2 kAxbk

Chapter 6, Problem 6.4.4

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(Review) Another quadratic that certainly has its minimum at Ax = b is Q(x) = 1 2 kAxbk 2 = 1 2 x TA TAxx TA T b+ 1 2 b T b. Comparing Q with P, and ignoring the constant 1 2 b Tb, what system of equations do we get at the minimum of Q? What are these equations called in the theory of least squares?

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