The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \....

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The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \.... The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \....
determinant ( a^2+1 ab ac , ab b^2+1 bc , ca cb c^2+1)=1+a^2+b^2+c^2 determinant ( a^2+1 ab ac , ab b^2+1 bc , ca cb c^2+1)=1+a^2+b^2+c^2
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