Examveda

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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