Yea that works for the first part. Thanks for the reply.
Any idea on the second part (square root of n)?
I am thinking it may have to do with the projection vector (such as (1,1,1,1,1,1)) in a scalar product or something like.
Homework Statement
\|x\|_2\le\|x\|_1\le\sqrt{n}\|x\|_2
where |x|1 is the l1 norm and |x|2 is the l2 normHomework Equations
See aboveThe Attempt at a Solution
I have \|\mathbf{x}\|_1 := \sum_{i=1}^{n} |x_i|
and \|x\|_2 = \left(\sum_{i\in\mathbb N}|x_i|^2\right)^{\frac12}
I have tried to...