【
Abstract
】
In algebra
，
the elementary transformation of matrix
has
very
important and
extensive
a
pplication
s
．
It is often used in the calculation of determinant
，
the solution of
linear
equations and matrix equations
，
the determination of linear relationship of vector
groups
，
the rank of matrix
，
the invariant factor of inverse and entry-matrix
，
Jordan canonical form of matrix
，
etc
．
In this paper
，
the properties of matrix elementary transformation are systematic
矩阵初等变换的若干应用-8577字.docx