Uc, M.Ozdemir, H.Ozban, A. Y.2024-07-052024-07-0520150308-10871563-513910.1080/03081087.2014.9229672-s2.0-84940216168https://doi.org/10.1080/03081087.2014.922967https://hdl.handle.net/20.500.14411/827Özdemir, Halim/0000-0003-4624-437XLet [GRAPHICS] and [GRAPHICS] be [GRAPHICS] nonzero quadratic matrices and let [GRAPHICS] and [GRAPHICS] be nonzero complex numbers. Necessary and sufficient conditions for the quadraticity of the linear combinations of the form [GRAPHICS] are obtained. Our main results contain many of the results in the literature related to idempotency or involutivity of the linear combinations of idempotent and/or involutive matrices. Finally, some numerical examples are given to exemplify the main results.eninfo:eu-repo/semantics/closedAccessidempotent matrixquadratic matrixt-potentinvolutive matrixquadraticityArticleQ263611251137WOS:00034684180000512