2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149553We show that a quantum super matrix in standard format is invertible if and only if its block matrices of even entries are invertible. We prove the q-analog of the well-known formula for the Berezinian.19 pages, Latex file with amstex styleQuantum AlgebraOn The Structure of Quantum Super Groups GL$_q(m|n)$text