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Seeking matrix mathematics postgraduate entrance examination
Use elementary transformation:

0 1 1

1 2 1

1 1 0

1 0 0

0 1 0

0 0 1

Column 1, plus column 3.

1 1 1

2 2 1

1 1 0

1 0 0

0 1 0

1 0 1

1 line, plus 3 lines.

2 2 1

2 2 1

1 1 0

1 0 0

0 1 0

1 0 1

Subtract the third column from the second column.

2 1 1

2 1 1

1 1 0

1 0 0

0 1 0

1 - 1 1

The second line, subtract the third line.

2 1 1

1 0 1

1 1 0

1 0 0

0 1 0

1 - 1 1

Get the matrix C.

1 0 0

0 1 0

1 - 1 1