2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78147A natural family of quantized matrix algebras is introduced. It includes the two best studied such. Located inside ${\s U}_q(A_{2n-1})$, it consists of quadratic algebras with the same Hilbert series as polynomials in $n^2$ variables. We discuss their general properties and investigate some members of the family in great detail with respect to associated varieties, degrees, centers, and symplectic leaves. Finally, the space of rank r matrices becomes a Poisson submanifold, and there is an associated tensor category of $\rank\leq r$ matrices.29 pages LaTeX2e manuscriptQuantum AlgebraRings and Algebras81R50; 16R20text