On the determinant of a class symmetric matrices – mathoverflow.net

On the determinant of a class symmetric matrices – mathoverflow.net

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Consider the matrix $2\times2$ symmetric matrix: $$ A_2=\begin{pmatrix} 1 & a_1 \\ a_1 & 1\end{pmatrix}. $$ It's clear that the restriction $|a_1|<1$ implies that $\det(A_2)>0$. ...

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