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2.67 Find the different norms of a vector

Problem: Given the vector say

\[ v={1,2,4} \]

Find its norm for \(p=1,2,\infty \)

Mathematica 

Remove["Global`*"]; 
 
v = {{1}, {2}, {4}}; 
p = {1, 2, Infinity}; 
Map[Norm[v,#]&,p]
 


{7,Sqrt[21],4}
 

Matlab 

clear all; close all; 
v=[1 2 4]; 
p=[1,2,inf]; 
arrayfun(@(i) norm(v,p(i)),1:length(p))
 


ans = 
7.0000    4.5826    4.0000
 

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