2 3 4 5 6 B=1 1 1 1 1 1 2 0 0 0 用初等行变换化为阶梯形矩阵、行最简矩阵；用初等变换化为等

1-2r2, r3-r2
0 1 2 3 4
1 1 1 1 1
0 1 -1 -1 -1
r3-r1
0 1 2 3 4
1 1 1 1 1
0 0 -3 -4 -5
r1r2
1 1 1 1 1
0 1 2 3 4
0 0 -3 -4 -5
-- 此为阶梯形矩阵
r1-r2, r3*(-1/3)
1 0 -1 -2 -3
0 1 2 3 4
0 0 1 4/3 5/3
r1+r3,r2-2r3
1 0 0 -2/3 -4/3
0 1 0 1/3 2/3
0 0 1 4/3 5/3
-- 此为行最简矩阵
c4+(2/3)c1-(1/3)c2-(4/3)c3
c5+(4/3)c1-(2/3)c2-(5/3)c3
1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
-- 此为等价标准形.