Consider the symmetric matrix
\begin{equation} \begin{bmatrix} a & b\\ b^T & c \end{bmatrix}\succ 0 \end{equation}
By assumption $c\succ 0$. I want to prove that $a\succ 0$. For the Schur complement (or other lemma) is it possible to prove it?
2026-03-25 20:35:45.1774470945
Elements of positive definite matrix
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