矩阵空间一类保持矩阵的秩1且保持体积不变的线性变换

摘要

矩阵体积是矩阵行列式绝对值的推广，也是向量长度的推广。在理解矩阵体积定义的基础上，研究了矩阵空间一类保持矩阵的秩1且保持体积不变的线性变换所满足的条件。%The volume of matrix is a generalization of the determinant, also a generalization of the vector length. Based on the understanding of the definition of the matrix volume, the linear transformation with the conditions of preserving matrix rank 1 and constant volume is studied on matrix space.