用初等变换求可逆矩阵A的逆矩阵 A= 0 2 -1 1 1 2 -1 -1 -1 求A-1
问题描述：
用初等变换求可逆矩阵A的逆矩阵 A= 0 2 -1 1 1 2 -1 -1 -1 求A-1
答
(A,E) =0 2 -1 1 0 01 1 2 0 1 0-1 -1 -1 0 0 1r3+r20 2 -1 1 0 01 1 2 0 1 00 0 1 0 1 1r1+r3,r2-2r30 2 0 1 1 11 1 0 0 -1 -20 0 1 0 1 1r1*(1/2)0 1 0 1/2 1/2 1/21 1 0 0 -1 -20 0 1 0 1 1r2-r1,r1r21 0 0 -1/2 ...