比较了四元数矩阵与域上矩阵在左、右特征值、逆矩阵、秩和迹等几个方面的差异,同时给出了四元数矩阵左、右特征值相等的一个充分条件.
In this paper,we consider the differences between Quatemion matrices and matrices over field with respect to the eigenvalue of a matrix, the inverse of a matrix, the rank of a matrix, the trace of a matrix, and so on. At the same time, we give a sufficient condition when the left eigenvalues and the right eigenvalues of a quatemion matrix are equal.