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In this study, we have defined a Max matrix as ... and have examined its some properties, such as determinant, inverse and norm, where Ln denotes the nth Lucas number. First, we have given the determinant and inverse of matrix matrix C by using known results for general Max matrix. Then we have established equality for Euclidean norm and an upper bound for the spectral norm of matrix C. Finally, we have computed the determinant and inverse of Hadamard inverse of matrix C. [ABSTRACT FROM AUTHOR]

In this study, Symmetric-Skew Symmetric Splitting (SSS) method is introduced to solve the system of linear equations. Then, the solution of AXB + CXD + EXF = M generalized Sylvester transpose matrix equation is established by using this method. Lastly, an example is given to illustrate the performance of the SSS method. [ABSTRACT FROM AUTHOR]