Use Row Reduction to Find the Inverse of the Given $\left[ \begin{array} { c c c c } 1 & 1 & - 1 & 1 \\- 1 & 1 & 1 & 0 \\- 1 & 1 & 0 & 1 \\4 & - 1 & - 1 & - 1\end{array} \right]$

question 85

Essay

Use row reduction to find the inverse of the given matrix, if it exists, and check your answer by multiplication.
​ $\left[ \begin{array} { c c c c } 1 & 1 & - 1 & 1 \\- 1 & 1 & 1 & 0 \\- 1 & 1 & 0 & 1 \\4 & - 1 & - 1 & - 1\end{array} \right]$

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