Study of N-dimensional Matrices and Its Application in Geology

The definition and arithmetic (including add-subtract, bracket multiplication and Hadamard products) of N-dimensional matrices are studied and proved. The cubic matrices are a special case of N-dimensional matrices. The multi-dimensional data are expressed more brief and facility in theoretical analysis by the method of N-dimensional matrices. A geological example is given to illustrate the method and procedure of N-dimensional matrices in geological application. The method of N-dimensional matrices are considered a good tool in exploration and forecast.