The aim of this paper is to investigate split semi quaternion matrices. To verify this, we first examine matrices with real split semi quaternion entries as a pair of hyperbolic matrices. Then, we present hyperbolic split semi quaternions and their matrices. Finally, for a hyperbolic split semi quaternion, we search some properties of its 2×2\documentclass[12pt]{minimal}
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\begin{document}$$2\times 2$$\end{document} matrix representation and we express 4×4\documentclass[12pt]{minimal}
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\begin{document}$$4\times 4$$\end{document} hyperbolic matrix and 8×8\documentclass[12pt]{minimal}
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\begin{document}$$8\times 8$$\end{document} real matrix representations.