Solved: In Exercises 3–6, find (a) the maximum value of
Chapter 7, Problem 4E(choose chapter or problem)
Problem 4E
In Exercises 3–6, find (a) the maximum value of Q(x) subject to the constraint xTx = 1, (b) a unit vector u where this maximum is attained, and (c) the maximum of Q(x) subject to the constraints xTx = 1 and xTu = 0.
Reference:
In Exercises 1 and 2, find the change of variable x = Py that transforms the quadratic form xTAx into yTDy as shown.
[Hint: x and y must have the same number of coordinates, so the quadratic form shown here must have a coefficient of zero for
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