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By using properties of determination show that\(\begin{vmatrix}1 & x &x^2\\[0.3em]x^2 & 1&x \\[0.3em]x&x^2 &1\end{vmatrix}\)

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By using properties of determination show that

\(\begin{vmatrix} 1 & x &x^2 \\[0.3em] x^2 & 1 &x \\[0.3em] x &x^2 &1 \end{vmatrix}\) = (1 - x3)2

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R1 = R1 + R2 + R3

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