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- Write as many criterion as you can which can be used to check if an operator is invertible.
- Check if the operator \(A\) on \(C^3\) defined below is invertible. \begin{equation*} A\begin{pmatrix} x_1 \\ x_2 \\x_3 \end{pmatrix} = \begin{pmatrix} x_2 \\ x_3 \\x_1 \end{pmatrix} \end{equation*}
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4727:Diamond Point
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