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Find the determinant of \\begin{bmatrix}1 & 2 &0\\\\ 2 & -1 & 1 \\\\ 1 & -1 & 1 \\end{bmatrix}

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To find the determinant of \\begin{bmatrix}1 & 2 & 0 \\\\ 2& -1 & 1 \\\\ 1 & -1 & 1 \\end{bmatrix} if we use the first row,

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$1  \\begin{vmatrix} -1&1\\\\ -1 &1\\end{vmatrix} -1 \\begin{vmatrix}2 & 1\\\\ 1 &1\\end{vmatrix} + 0 \\begin{vmatrix} 2&-1\\\\ 1& -1\\end{vmatrix}$

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