摘要
由已知n阶矩阵A构造一个n阶矩阵序列A^(k)(k=1,…,n)以及相应的初等变换矩阵E_(kx),然后利用矩阵的乘法,递推求得A的逆或断定A不可逆。并且给出了算法和理论依据。
It is stated that a matrix sequence of n-order A^((K)) (K=1,…, n) and a corre- sponding elementary transformation matrix Eks are constructed from a Known n-order matrix. And then with multiplication of matrix, the converse of A is derived recursively, or A is judged to be unconvertible The algorithm and theorem are also presented.