Question: (a) Explain in detail why the minimizer of ||v - b|| coincides with the minimizer of ||v - b||2. (b) Find all scalar functions F(x)

(a) Explain in detail why the minimizer of ||v - b|| coincides with the minimizer of ||v - b||2.
(b) Find all scalar functions F(x) for which the minimizer of F(||v - b||) is the same as the minimizer of ||v - b||.

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