how to prove equivalence between 1-norm and 2-norm ?

how to prove equivalence between 1-norm and 2-norm ? [closed]

Hi, i need to prove $x \in R^n$ $||x||_1 \leq \sqrt{n} * ||x||_2$, but i'm stuck.

Any help would be great!

Thanks

flag	asked Jul 12 2011 at 21:25 unknown (google) 1

try math.stackexchange.com – Will Jagy Jul 12 2011 at 21:26

or math.cauchy-schwarz.org ;-) – Noam D. Elkies Jul 12 2011 at 21:32

Thanks Noam! ... – unknown (google) Jul 12 2011 at 21:49