Flexibility matrix for a beam element is \(\left[ {\rm{F}} \right] = \frac{1}{{{\rm{EI}}}}\left[ {\begin{array}{*{20}{c}} 6&2\\ 2&9 \end{array}} \right]\). What is the corresponding stiffness matrix [S]?

1
\({\rm{S}} = \frac{{{\rm{EI}}}}{{50}}\left[ {\begin{array}{*{20}{c}} 9&{ - 2}\\ { - 2}&6 \end{array}} \right]\)
2
\({\rm{S}} = \frac{{{\rm{EI}}}}{{50}}\left[ {\begin{array}{*{20}{c}} 6&{ - 2}\\ { - 2}&9 \end{array}} \right]\)
3
\({\rm{S}} = \frac{{{\rm{EI}}}}{{50}}\left[ {\begin{array}{*{20}{c}} 2&9\\ 6&2 \end{array}} \right]\)
4
\({\rm{S}} = \frac{{{\rm{EI}}}}{{50}}\left[ {\begin{array}{*{20}{c}} 6&2\\ 9&2 \end{array}} \right]\)

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