\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute \(A^{-1}\) for \(A = \begin{pmatrix} 1 & 1 \\ 1 & 2 \end{pmatrix}\) by the « system » method: write \(Y = A X\) with \(X = (x_1, x_2)^\top\), \(Y = (y_1, y_2)^\top\) generic, solve for \((x_1, x_2)\) in terms of \((y_1, y_2)\), and read \(A^{-1}\) off the result.
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