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We present a proof of determinant of special nonsymmetric Toeplitz matricesconjectured by An{\dj}eli\'c and Fonseca in \cite{andjelic2020some}. A proof isalso demonstrated for a more general theorem. The two conjectures are thereforejust two possible results, under two specific settings. Numerical examplesvalidating the theorem are provided.

A proof of An{\dj}eli\'c-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization