1 1 1 .1 1 0 1 1.1 1 . . . . . . . . . . . . . . . 0 0 0...0 1 求逆矩阵

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/28 00:33:22
1 1 1 .1 1 0 1 1.1 1 . . . . . . . . . . . . . . . 0 0 0...0 1 求逆矩阵
x)3TA=abYzx?/glI*ҧyv6w-c 6. B90Y=$Wn1@5@rE Eچ::F:@I<]C]'>[Ɏ';^,ydG7 "W@u1|)I

1 1 1 .1 1 0 1 1.1 1 . . . . . . . . . . . . . . . 0 0 0...0 1 求逆矩阵
1 1 1 .1 1 0 1 1.1 1 . . . . . . . . . . . . . . . 0 0 0...0 1 求逆矩阵

1 1 1 .1 1 0 1 1.1 1 . . . . . . . . . . . . . . . 0 0 0...0 1 求逆矩阵
(A,E)=
1 1 1 ...1 1 1 0 0 ...0 0
0 1 1 ...1 1 0 1 0 ...0 0
0 0 1 ...1 1 0 0 1 ...0 0
............
0 0 0 ...1 1 0 0 0 ...1 0
0 0 0 ...0 1 0 0 0 ...0 1
ri - r(i+1),i=1,2,...,n-1 --依次上一行减下一行
1 0 0 ...0 0 1 -1 0 ...0 0
0 1 0 ...0 0 0 1 -1 ...0 0
0 0 1 ...0 0 0 0 1 ...0 0
............
0 0 0 ...1 0 0 0 0 ...1 -1
0 0 0 ...0 1 0 0 0 ...0 1
所以 A^-1=
1 -1 0 ...0 0
0 1 -1 ...0 0
0 0 1 ...0 0
......
0 0 0 ...1 -1
0 0 0 ...0 1