A The original matrix A row echelon form The rref of the matrix
[ 0 0 1 2 1] [-1 2 -1 0 2] [1 0 0 0 -1 ]
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[-1 2 -1 0 2] [ 0 -1 1 -1 -3] [0 1 0 0 -1/2]
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[-1 1 0 -1 -1] [ 0 0 1 2 1] [0 0 1 0 -2 ]
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[-1 -1 2 1 -1] [ 0 0 0 4 6] [0 0 0 1 3/2 ]
B The original matrix A row echelon form The rref of the matrix
[1 1 1 -1 2] [1 1 1 -1 2] [1 0 0 0 5/2 ]
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[1 2 1 0 2] [0 1 0 1 0] [0 1 0 0 -1/2]
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[0 -1 0 1 1] [0 0 2 2 2] [0 0 1 0 1/2 ]
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[0 0 2 2 2] [0 0 0 2 1] [0 0 0 1 1/2 ]
C The original matrix A row echelon form The rref of the matrix
[0 1 -1 1 0] [1 -1 1 1 0] [1 0 0 0 6/5 ]
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[1 -1 1 1 0] [0 1 -1 1 0] [0 1 0 0 1 ]
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[2 -1 -1 0 1] [0 0 -2 -3 1] [0 0 1 0 2/5 ]
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[1 0 2 0 2] [0 0 0 -5 3] [0 0 0 1 -3/5]
D The original matrix A row echelon form The rref of the matrix
[ 2 0 0 2 2] [2 0 0 2 2] [1 0 0 0 1/2]
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[-1 1 1 -1 -1] [0 1 1 0 0] [0 1 0 0 0 ]
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[ 1 2 1 -1 0] [0 0 -1 -2 -1] [0 0 1 0 0 ]
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[-1 2 -1 -1 -1] [0 0 0 6 3] [0 0 0 1 1/2]
E The original matrix A row echelon form The rref of the matrix
[ 0 -1 1 -1 -1] [1 2 1 -1 2] [1 0 0 0 -6]
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[ 1 2 1 -1 2] [0 -1 1 -1 -1] [0 1 0 0 3]
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[ 0 0 1 -1 2] [0 0 1 -1 2] [0 0 1 0 3]
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[-1 0 -1 -1 2] [0 0 0 -2 -2] [0 0 0 1 1]
F The original matrix A row echelon form The rref of the matrix
[ 0 2 0 0 -1] [-1 -1 -1 2 1 ] [1 0 0 0 -3/2]
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[-1 -1 -1 2 1] [ 0 2 0 0 -1 ] [0 1 0 0 -1/2]
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[-1 -1 0 0 2] [ 0 0 1 -2 1 ] [0 0 1 0 10/3]
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[ 2 1 2 -1 2] [ 0 0 0 3 7/2] [0 0 0 1 7/6 ]