用初等变换求下列矩阵的逆矩阵2 1 0 0 3 2 0 0 5 7 1 8 -1

题目

用初等变换求下列矩阵的逆矩阵2 1 0 0 3 2 0 0 5 7 1 8 -1
用初等变换求下列矩阵的逆矩阵2 1 0 0
3 2 0 0
5 7 1 8
-1 -3 -1 -1

答案

(A,E)=2 1 0 0 1 0 0 03 2 0 0 0 1 0 05 7 1 8 0 0 1 0-1 -3 -1 -1 0 0 0 1r2-2r1,r4+r32 1 0 0 1 0 0 0-1 0 0 0 -2 1 0 05 7 1 8 0 0 1 04 4 0 7 0 0 1 1r1+2r2,r2*(-1)0 1 0 0 -3 2 0 01 0 0 0 2 -1 0 05 7 1 8 0 ...