【摘要】 给出四元数体上λ多项式的线性因式分解定理和四元数体上方阵的特征矩阵主法式的存在唯一性定理。用之导出四元数方阵所相似的Jordan形主矩阵的唯一性，四元数矩阵相似于对角形矩阵的一个充要条件及四元数方阵的最小实系数零化多项式的形式。更多还原

【Abstract】 Over quaternionic field, the theorem about the linear factorization ofλ-polynomials and theorem about the existence and uniqueness of the main normal form of an eigenmatrix are given. Then, the follows are gotten: the existence of Jordan form main matrices which are similar to a square matrix, and a necessary and sufficient condition of a matrix similar to a diagonal matrix, and the real coefficient minimum polynomial of a matrix.更多还原