Question

Numerical Methods:

Show all work, please write clearly and neatly so that I may learn how to do this correctly, if you do not know how to do the problem, please do not answer. Thank you very much for your help, it is much appreciated.

1. Verify that the function  $\left \| \cdot \right \|_{2}$ defined on $\mathbb{R}^{^{n}}$ by

                $\left \| \cdot \right \|_{2} = \sqrt{\sum_{i = 1}^{n}}x{_{i}}^{2}$

is a norm on $\mathbb{R}^{^{n}}$ .

Thank you for your help

Answer 1

2 A edecky11 2112 70 and 11 xl=0 Ixil o t 2, ao ti €) 280. . se til Change m (gluge 1a). llaello 3 xt x, y € IR" Narylan (3 lai+3704 <(34*3*5W) a la ll + llalle 녀 nem