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## Homework Statement

In [tex]R^{3}[/tex] ||x||= [tex]a_{1}[/tex]*|[tex]x_{1}[/tex]|+ [tex]a_{2}[/tex]*|[tex]x_{2}[/tex]|+ [tex]a_{3}[/tex]*|[tex]x_{3}[/tex]|. where [tex]a_{i}[/tex]>0

What is ||A||(indused norm = sup||Ax|| as ||x||=1). (Suppose we know the coeffisients of the matrix/operator A)??