Math Problem Statement
0 belong to w(A) proof norm(I_A) greater than 1
Solution
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Math Problem Analysis
Mathematical Concepts
Numerical Range
Operator Norm
Formulas
\( w(A) = \left\{ \langle Ax, x \rangle : x \in \mathbb{C}^n, \|x\| = 1 \right\} \)
\( \|A - I\| = \sup_{\|x\| = 1} \| (A - I)x \| \)
Theorems
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Suitable Grade Level
Graduate Level