Vertex matrices are graphs showing interconnected concepts or data. These graphs can take a variety of shapes from traditional rows and columns of information to floating bubbles of conceptual ...

Solution: det (A) = −5, and for n×n matrix adj (A) has determinant (det A)^ (n−1). Here n = 3, so det (B) = (−5)^ (2) = 25.

We show that finite-rank perturbations of certain random matrices fit in the framework of infinitesimal (type-B) asymptotic freeness. This can be used to explain the appearance of free harmonic ...