5.2.8. Suppose K1 and K2 are positive definite n * n matrices. Suppose that, for i = 1, 2, the minimizer of pi (x) = xTKix - 2xT fi + ci, is x i. Is the minimizer of p (x) = p1 (x) + p2 (x) given by x = x 1 + x 2? Prove or give a counterexample.

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Ronan Werner

Mathematics

6 January, 06:13

5.2.8. Suppose K1 and K2 are positive definite n * n matrices. Suppose that, for i = 1, 2, the minimizer of pi (x) = xTKix - 2xT fi + ci, is x i. Is the minimizer of p (x) = p1 (x) + p2 (x) given by x = x 1 + x 2? Prove or give a counterexample.

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Skippy · Answer 1

Q7 if you multiplying matrix K1 and K2. The number of items on the row of K1 must be equal to the number of items on the columns of matrix K2 if not it's not applicable.