矩阵的初等变换 0 2 -3 1 0 3 -4 3 0 4 -7 1
问题描述:
矩阵的初等变换 0 2 -3 1 0 3 -4 3 0 4 -7 1
答
0 2 -3 1
0 3 -4 3
0 4 -7 1
1c4得:
1 2 -3 0
3 3 -4 0
1 4 -7 0
r2-3r1,r3-r1得:
1 2 -3 0
0 -3 5 0
0 2 -4 0
-1/3r2,r3-r1得:
1 2 -3 0
0 1 -5/3 0
0 0 -1 0
r1-2r2,-r3得:
1 0 1/3 0
0 1 -5/3 0
0 0 1 0
r1-1/3r3,r2+5/3r3得:
1 0 0 0
0 1 0 0
0 0 1 0