engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Matrices Types of Matrices
जर \(A = \left[ {\begin{array}{*{20}{c}} 3&2&5\\ 4&1&3\\ 0&6&7 \end{array}} \right] = \frac{1}{2} \cdot (P + Q)\) जेथे P हा सममितीय आव्यूह आहे आणि Q विषममित आव्यूह आहे तर P आणि Q आहेत?
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
\(P = \left[ {\begin{array}{*{20}{c}} 6&6&5\\ 6&2&9\\ 5&9&{14} \end{array}} \right]\;and\;Q = \;\left[ {\begin{array}{*{20}{c}} 0&{\;2}&5\\ 2&0&{\;3}\\ {\;5}&3&0 \end{array}} \right]\)