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Use A-1 to solve the following system of linear exuations

Let \(A=\left[\begin{array}{ccc}2 & 0 & -1 \\ 1 & -5 & 1 \\ 2 & -7 & 1\end{array}\right]\)

a) Compute \(A^{-1} .\)

b) Use \(A^{-1}\) to solve the following system of linear exuations:

$$ \begin{array}{r} 2 x_{1}+-x_{3}=3 \\ x_{1}-5 x_{2}+x_{3}=1 \\ 2 x_{1}-7 x_{2}+x_{3}=4 \end{array} $$

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