For the given orthogonal matrix Q,
\(Q = \left[ {\begin{array}{*{20}{c}} {\frac{3}{7}}&{\frac{2}{7}}&{\frac{6}{7}}\\ { - \frac{6}{7}}&{\frac{3}{7}}&{\frac{2}{7}}\\ {\frac{2}{7}}&{\frac{6}{7}}&{ - \frac{3}{7}} \end{array}} \right]\)
The inverse is __________
1
\(\left[ {\begin{array}{*{20}{c}} {\frac{3}{7}}&{\frac{2}{7}}&{\frac{6}{7}}\\ { - \frac{6}{7}}&{\frac{3}{7}}&{\frac{2}{7}}\\ {\frac{2}{7}}&{\frac{6}{7}}&{ - \frac{3}{7}\;} \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} { - \frac{3}{7}}&{ - \frac{2}{7}}&{ - \frac{6}{7}}\\ {\frac{6}{7}}&{ - \frac{3}{7}}&{ - \frac{2}{7}}\\ { - \frac{2}{7}}&{ - \frac{6}{7}}&{\frac{3}{7}} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} {\frac{3}{7}}&{ - \frac{6}{7}}&{\frac{2}{7}}\\ {\frac{2}{7}}&{\frac{3}{7}}&{\frac{6}{7}}\\ {\frac{6}{7}}&{\frac{2}{7}}&{ - \frac{3}{7}} \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} { - \frac{3}{7}}&{\frac{6}{7}}&{ - \frac{2}{7}}\\ { - \frac{2}{7}}&{ - \frac{3}{7}}&{ - \frac{6}{7}}\\ { - \frac{6}{7}}&{ - \frac{2}{7}}&{\frac{3}{7}} \end{array}} \right]\)