Given a set of $N$ vectors $\{v_i\}_{i=1}^N$ in $\mathbb R^d$ (with $N > d$), we construct
$E_{i,j} = \langle v_i, v_j\rangle$
Is there a name for this kind of matrix? I am especially interested in its spectral properties (I know that a lot of eigenvalues are zero by linear dependence of the $v_i$).