Verify that the following scalar functions are valid norms o

Verify that the following scalar functions are valid norms operating on the set vectors x= (x_1, x_2, ..., x_n) Norm 1: ||x||_1 = sigma_i = 1^n |x_i| Norm infinity: ||x||_infinity = max_i = 1, 2, ..., n |x_i|

Solution

Both a and b are scalar function but as per norms operating on set, only first is the scalar function but not second one because it\'s finite not operating as per norms set.