defence exam ITBP (Telecommunication) Head Constable Mock Test 2024 Mathematics Matrices Types of Matrices
If \(A = \left[ {\begin{array}{*{20}{c}} 2&3\\ { - \;1}&2 \end{array}} \right] = \frac{1}{2}\;\left( {P + Q} \right)\) where P is symmetric and Q is skew symmetric matrix then P and Q are ?
1
\(P = \left[ {\begin{array}{*{20}{c}} 4&2\\ 2&4 \end{array}} \right]\;and\;Q = \;\left[ {\begin{array}{*{20}{c}} 0&4\\ {\;4}&0 \end{array}} \right]\)
2
\(P = \left[ {\begin{array}{*{20}{c}} 4&2\\ 2&4 \end{array}} \right]\;and\;Q = \;\left[ {\begin{array}{*{20}{c}} 0&4\\ { - \;4}&0 \end{array}} \right]\)
3
\(P = \left[ {\begin{array}{*{20}{c}} 4&2\\ 2&4 \end{array}} \right]\;and\;Q = \;\left[ {\begin{array}{*{20}{c}} 0&- 4\\ { - \;4}&0 \end{array}} \right]\)
4
None of these