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If \(A = \left[ {\begin{array}{*{20}{c}} 3&2&5\\ 4&1&3\\ 0&6&7 \end{array}} \right] = \frac{1}{2} \cdot (P + Q)\) where P is symmetric and Q is skew symmetric matrix then P and Q are ?
1
\(P = \left[ {\begin{array}{*{20}{c}} 6&6&5\\ 6&2&9\\ 5&9&{14} \end{array}} \right]\;and\;Q = \;\left[ {\begin{array}{*{20}{c}} 0&{ - \;2}&5\\ 2&0&{ - \;3}\\ { - \;5}&3&0 \end{array}} \right]\)
2
\(P = \left[ {\begin{array}{*{20}{c}} 6&6&5\\ 6&2&9\\ 5&9&{14} \end{array}} \right]\;and\;Q = \;\left[ {\begin{array}{*{20}{c}} 0&{ - \;2}&5\\ 2&0&{ - \;3}\\ { \;5}&3&0 \end{array}} \right]\)
3
\(P = \left[ {\begin{array}{*{20}{c}} 6&6&5\\ 6&2&9\\ 5&9&{14} \end{array}} \right]\;and\;Q = \;\left[ {\begin{array}{*{20}{c}} 0&{\;2}&5\\ 2&0&{ - \;3}\\ { - \;5}&3&0 \end{array}} \right]\)
4
\(P = \left[ {\begin{array}{*{20}{c}} 6&6&5\\ 6&2&9\\ 5&9&{14} \end{array}} \right]\;and\;Q = \;\left[ {\begin{array}{*{20}{c}} 0&{\;2}&5\\ 2&0&{\;3}\\ {\;5}&3&0 \end{array}} \right]\)