Find the zero-one matrix of the transitive closure of the relation given by the matrix A:

\(A = \left[ {\begin{array}{*{20}{c}} 1&0&1\\ 0&1&0\\ 1&1&0 \end{array}} \right]\)

1. \(\left[ {\begin{array}{*{20}{c}} 1&1&1\\ 0&1&0\\ 1&1&1 \end{array}} \right]\)

2. \(\left[ {\begin{array}{*{20}{c}} 1&0&1\\ 0&1&0\\ 1&1&0 \end{array}} \right]\)

3. \(\left[ {\begin{array}{*{20}{c}} 1&0&1\\ 0&1&0\\ 1&0&1 \end{array}} \right]\)

4. \(\left[ {\begin{array}{*{20}{c}} 1&1&1\\ 0&1&0\\ 1&0&1 \end{array}} \right]\)

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