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Question Number 81879 by zainal tanjung last updated on 16/Feb/20

$$\mathrm{The}\mathrm{value}\mathrm{of}\mathrm{determinant}\left|\begin{array}{ccc}-1& 1& 1\\ 1& -1& 1\\ 1& 1& -1\end{array}\right|$$$$\mathrm{is}\mathrm{equal}\mathrm{to}$$

Commented by john santu last updated on 16/Feb/20

$$-1\left(0\right)-1(-2)+1\left(2\right)=4$$

Commented by mathmax by abdo last updated on 16/Feb/20

$$=-1\times \left|\begin{array}{c}-11\\ 1-1\end{array}\right|-1\times \left|\begin{array}{c}11\\ 1-1\end{array}\right|+1\times \left|\begin{array}{c}11\\ -11\end{array}\right|$$$$=-\left(0\right)-(-2)+\left(2\right)=4$$

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