2 problems

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The determinant and inverse conjecture for E0_2-matrices
Determinant and inverse conjecture. One has
Conjectureopenmatrix-theory z-matricesarXiv posted 2 days ago
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The leading-block and eigenvalue conjecture for E0_2-matrices
Leading-block and eigenvalue conjecture. This leading principal diagonal block of $A^{-1}$ is a $\mathbf{Z}$ -matrix. Moreover, $A$ has exactly one negative eigenvalue.
Conjectureopeneigenvalues matrix-theory z-matricesarXiv posted 2 days ago

The determinant and inverse conjecture for E0_2-matrices