© 2000−2019 P. Bogacki
Transforming a matrix to reduced row echelon form
v. 1.25
TRANSFORMING MATRIX TO THE REDUCED ROW ECHELON FORM
Row
Operation
1:
0
1
1
3
-1
1
0
0
4
2
0
1
-1
1
3
interchange
the 1st row
and
the 2nd row
1
0
0
4
2
0
1
1
3
-1
0
1
-1
1
3
Row
Operation
2:
1
0
0
4
2
0
1
1
3
-1
0
1
-1
1
3
add
-1
times
the 2nd row
to
the 3rd row
1
0
0
4
2
0
1
1
3
-1
0
0
-2
-2
4
Row
Operation
3:
1
0
0
4
2
0
1
1
3
-1
0
0
-2
-2
4
multiply
the 3rd row
by
-1/2
1
0
0
4
2
0
1
1
3
-1
0
0
1
1
-2
Row
Operation
4:
1
0
0
4
2
0
1
1
3
-1
0
0
1
1
-2
add
-1
times
the 3rd row
to
the 2nd row
1
0
0
4
2
0
1
0
2
1
0
0
1
1
-2