急求摘要翻译要用数学名词矩阵的初等变换在高等代数中有着十分广泛的应用．本文利用矩阵的初等变换求了矩阵的秩；可逆矩阵的逆矩

Matrix primary transformation has a wide range of applications in higher algebra. By using primary transformation this paper has found Matrix rank, reversible matrix's inverse matrix, vector group's maximum impertinent groups, linear equation group's solution and the greatest common factor of unary polynomial, and made the quadratics form standard.