Kizilaslan, GoncaSahin, Harun2025-01-212025-01-2120242148-1830https://doi.org/10.47000/tjmcs.1428063https://search.trdizin.gov.tr/tr/yayin/detay/1247290https://hdl.handle.net/20.500.12587/23378In this article, we define eight orthogonal matrices strongly linked to the well-known Helmert matrix. We derive LU factorizations by providing explicit closed-form formulas for the entries of L and U. Additionally, we factorize matrices by representing them in relation to diagonal matrices. © MatDer.eninfo:eu-repo/semantics/openAccessFactorization of matrices; Helmert matrix; matrix inversion; orthogonal matricesArticle16122923910.47000/tjmcs.14280632-s2.0-85202582087N/A1247290