Inertia and other properties of the matrix $\left[\beta (i,j)\right]$

Priyanka Grover, Veer Singh Panwar

Let $\pi (A)$, $\xi (A)$ and $\nu (A)$, respectively, denote the number of positive, zero and negative eigenvalues of the matrix $A$. Then the triplet $(\pi (A),\xi (A),\nu (A))$ is called the \em…