Rref Example3

a =
1 -2 1 3
0 1 2 -1 R3-R1=R3
1 1 3 0

a =
1 -2 1 3
0 1 2 -1 R3-3R2=R3
0 3 2 -3

a =
1 -2 1 3
0 1 2 -1 R3 / -4 = R3
0 0 -4 0

a =
1 -2 1 3
0 1 2 -1 R2-2R3=R2
0 0 1 0

a =
1 -2 1 3
0 1 0 -1 R1-R3=R1
0 0 1 0

a =
1 -2 0 3
0 1 0 -1 R1+2R2=R1
0 0 1 0

a =
1 0 0 1
0 1 0 -1 R1+2R2=R1
0 0 1 0

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