The inverse of matrix \[\left[ {\begin{array}{*{20}{c}} 0&1&0 \\ 1&0&0 \\ 0&0&1 \end{array}} \right]\] is
A. \[\left[ {\begin{array}{*{20}{c}} 0&1&0 \\ 1&0&0 \\ 0&0&1 \end{array}} \right]\]
B. \[\left[ {\begin{array}{*{20}{c}} 0&{ - 1}&0 \\ { - 1}&0&0 \\ 0&0&{ - 1} \end{array}} \right]\]
C. \[\left[ {\begin{array}{*{20}{c}} 0&1&0 \\ 0&0&1 \\ 1&0&0 \end{array}} \right]\]
D. \[\left[ {\begin{array}{*{20}{c}} 0&{ - 1}&0 \\ 0&0&{ - 1} \\ { - 1}&0&0 \end{array}} \right]\]
Answer: Option A

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