A problem asks to find all the possible echelon forms for:
3X + Y + 2Z = 7
2X + 2Y + 2Z = 6
2X + 4Y + 3Z = 8
I found one echelon form to be:
1 1/3 2/3 | 7/3
0 1 1/2 | 1
0 0 0 | 0
Are there up to 6 echelon forms when you reorder the variables?
Is the problem asking to find each echelon form for each reordering?
This is the exact working of the question