Question: R , define 1 ||, =1 a) Show that 1 is a norm on R (defining a different distance, sometimes called the taxicab distance). b)

R , define 1 ||, =1 a) Show that 1 is a norm on R (defining a different distance, sometimes called the taxicab distance). b) What is the unit ball (0, 1) in this norm? Think about what it is in R2 and R3. Hint: It is, for example, a convex hull of a finite number of points

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