本书内容包括多项式理论、行列式理论、矩阵、线性方程组理论、线性空间、线性变换、Jordan标准形的应用、线性函数和多重线性函数、实Euclid空间、二次型分类、复Euclid空间、广义逆矩阵、非负方阵、矩阵偶的标准形理论等。

The content of this book includes polynomial theory, determinant theory, matrix theory, linear equation system theory, linear space, linear transformation, application of Jordan's standard form, linear functions and multilinear functions, real Euclid space, quadratic classification, complex Euclid space, generalized inverse matrix, non negative square matrix, standard form theory of matrix pairs, etc.