In this paper, we introduce 8×8 real matrix representations of complex split quaternions. Then, the relations between real matrix representations of split and complex split quaternions are stated. Moreover, we investigate some linear split and complex split quaternionic equations with split Fibonacci and complex split Fibonacci quaternion coefficients. Finally, we also give some numerical examples as applications of real matrix representation of complex split quaternions.

中文翻译：

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复杂分裂四元数的实矩阵表示及其应用

在本文中，我们介绍了复分解四元数的8×8实矩阵表示。然后，说明了分裂四元数和复杂分裂四元数的实数矩阵表示之间的关系。此外，我们研究了具有分裂斐波纳契数和复杂分裂斐波纳契四元数系数的线性分裂和复分裂四元数方程。最后，我们还给出了一些数值示例，作为复分解四元数的实矩阵表示的应用。