摘要
用向量表示四元数.得到四元数乗积的一个弱可交换律,并利用它将四元数体上线性矩阵方程转化为数域上的线性方程组,给出此类方程的一般解法.
This paper gets a weakly exchangeable law of quaternion product by means of quaternion to be expressed vector. And by it, we turn linear matrix equation over quaternion field into linear equations over a number field, and obtain normal solutions of this kind of equation.