求最简行阶梯形矩阵一行2,3,1,-3,-7二行1,2,0,-2,-4三行3,-2,8,3,0四行2,-3,7,4,3求详细的过程?

Question

求最简行阶梯形矩阵一行2,3,1,-3,-7二行1,2,0,-2,-4三行3,-2,8,3,0四行2,-3,7,4,3求详细的过程?

Answer 1

r1-2r2,r3-3r2,r4-2r2
0 -1 1 1 1
1 2 0 -2 -4
0 -8 8 9 12
0 -7 7 8 11

r1*(-1),r2-2r1,r3+8r1,r4+7r1
0 1 -1 -1 -1
1 0 2 0 -2
0 0 0 1 4
0 0 0 1 4

r1+r3,r4-r3
0 1 -1 0 3
1 0 2 0 -2
0 0 0 1 4
0 0 0 0 0

r1r2
1 0 2 0 -2
0 1 -1 0 3
0 0 0 1 4
0 0 0 0 0