Question: (a) Prove that f(x) = Ixl, + |x, is also a norm on Rn (b) The norm ball is defined as the set of x

(a) Prove that f(x) = Ixl, + |x, is also a norm on Rn (b) The "norm ball" is defined as the set of x for which an (arbitrary) norm f(x) = 1. Sketch the norm ball in R2 for the norm f (x) = Ixl|, + Ixllo

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