\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that the system \(A X = B\) with \(A = \begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}\) and \(B = \begin{pmatrix} 1 \\ 2 \end{pmatrix}\) is incompatible by examining the columns of \(A\).
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