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If $x \| \underline{x} \| \infty = 1< i^{max} < n \: \: max \: \: ( \mid x1 \mid ) $ for the vector $\underline{x} = (x1, x2 \dots x_n)$ and $\| A \| \infty = x^{Sup} \frac{\| A \underline{x} \| \infty}{\| \underline{x} \| \infty}$ is the corresponding matrix norm, calculate $\| A \|_o$ for the matrix $A=\begin{bmatrix} 2 & 5 & 9 \\ 4 & 6 & 5 \\ 8 & 2 & 3 \end{bmatrix}$ using a known property of this norm.

Although this norm is very easy to calculate for any matrix, explain why the condition number is difficult (i.e. expensive) to calculate.
asked in Linear Algebra by Veteran (115k points) | 130 views

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