A matrix calculation system for calculating funny matrix multiplication (FMM) of a matrix A and a matrix B, including: sequentially calculating a permutation of indices {ai} in which values are arranged in a non-decreasing order with respect to each i-th row where i=1 to the number of rows of the matrix A; storing a value, which is greater than expected as a value of a matrix, for C[i, j] with respect to each j-th column where j=1 to the number of columns of the matrix A in the i-th row; sequentially calculating a permutation of indices {bj} in which values are arranged in a non-decreasing order with respect to each j-th column where j=1 to the number of columns of the matrix B; and setting the values of C[i, j], which are i and j components of the matrix C.