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CS 59000-NMC, 30 August 2011 \newline Your name:

Please answer the following questions. You may not use any outside references or technology. Justify and explain all answers. This quiz is for my own evaluation, so that I can provide better instruction in the course.

\hypertarget{question_1}{}\subsection*{{Question}}\label{question_1}

Consider the vector 1-norm. Show than

\begin{displaymath}
\normof{\vec{x}}_{\infty} \le  \onormof{\vec{x}}{1} \le n \| \vec{x} \|_{\infty}.
\end{displaymath}
When is the inequality an equality?


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