2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36399We develop a correspondence between arbitrary tensors and matrices based on the use of Kronecker products and associated identities. Utilizing the rules of matrix differentiation we derive the vacuum Einstein field equations as a differential-matrix equation. This formulation may facilitate their efficient use in numerical relativistic models.8 pagesGeneral Relativity and Quantum Cosmologytext