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 __________

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TuteeHUB · Accepted Answer

$\left[ {\begin{array}{*{20}{c}} { - \frac{3}{7}}&{\frac{6}{7}}&{ - \frac{2}{7}}\ { - \frac{2}{7}}&{ - \frac{3}{7}}&{ - \frac{6}{7}}\ { - \frac{6}{7}}&{ - \frac{2}{7}}&{\frac{3}{7}} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} {\frac{3}{7}}&{\frac{2}{7}}&{\frac{6}{7}}\ { - \frac{6}{7}}&{\frac{3}{7}}&{\frac{2}{7}}\ {\frac{2}{7}}&{\frac{6}{7}}&{ - \frac{3}{7}\;} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} { - \frac{3}{7}}&{ - \frac{2}{7}}&{ - \frac{6}{7}}\ {\frac{6}{7}}&{ - \frac{3}{7}}&{ - \frac{2}{7}}\ { - \frac{2}{7}}&{ - \frac{6}{7}}&{\frac{3}{7}} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} {\frac{3}{7}}&{ - \frac{6}{7}}&{\frac{2}{7}}\ {\frac{2}{7}}&{\frac{3}{7}}&{\frac{6}{7}}\ {\frac{6}{7}}&{\frac{2}{7}}&{ - \frac{3}{7}} \end{array}} \right]$

1.	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 __________
A.	\(\left[ {\begin{array}{*{20}{c}} {\frac{3}{7}}&{\frac{2}{7}}&{\frac{6}{7}}\\ { - \frac{6}{7}}&{\frac{3}{7}}&{\frac{2}{7}}\\ {\frac{2}{7}}&{\frac{6}{7}}&{ - \frac{3}{7}\;} \end{array}} \right]\)
B.	\(\left[ {\begin{array}{*{20}{c}} { - \frac{3}{7}}&{ - \frac{2}{7}}&{ - \frac{6}{7}}\\ {\frac{6}{7}}&{ - \frac{3}{7}}&{ - \frac{2}{7}}\\ { - \frac{2}{7}}&{ - \frac{6}{7}}&{\frac{3}{7}} \end{array}} \right]\)
C.	\(\left[ {\begin{array}{*{20}{c}} {\frac{3}{7}}&{ - \frac{6}{7}}&{\frac{2}{7}}\\ {\frac{2}{7}}&{\frac{3}{7}}&{\frac{6}{7}}\\ {\frac{6}{7}}&{\frac{2}{7}}&{ - \frac{3}{7}} \end{array}} \right]\)
D.	\(\left[ {\begin{array}{*{20}{c}} { - \frac{3}{7}}&{\frac{6}{7}}&{ - \frac{2}{7}}\\ { - \frac{2}{7}}&{ - \frac{3}{7}}&{ - \frac{6}{7}}\\ { - \frac{6}{7}}&{ - \frac{2}{7}}&{\frac{3}{7}} \end{array}} \right]\)
Answer» D. \(\left[ {\begin{array}{*{20}{c}} { - \frac{3}{7}}&{\frac{6}{7}}&{ - \frac{2}{7}}\\ { - \frac{2}{7}}&{ - \frac{3}{7}}&{ - \frac{6}{7}}\\ { - \frac{6}{7}}&{ - \frac{2}{7}}&{\frac{3}{7}} \end{array}} \right]\)

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 __________

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