engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Matrices Types of Matrices
Find the symmetric and the skew-symmetric such that the sum of the matrices is \(\begin{bmatrix} 7& 5 & 7\\ 3 & 4 & 6\\ 2 & 3 & 2 \end{bmatrix}\)
1
P = \(\begin{bmatrix} 7& 4 & 4.5\\ 4& 4 & 4.5\\ 4.5 & 4.5 & 2 \end{bmatrix}\)
Q = \(\begin{bmatrix} 0& 1& 2.5\\ -1& 0& 1.5\\ -2.5& -1.5& 0\end{bmatrix}\)
Q = \(\begin{bmatrix} 0& 1& 2.5\\ -1& 0& 1.5\\ -2.5& -1.5& 0\end{bmatrix}\)
2
P = \(\begin{bmatrix} 7& 4 & 4.5\\ 4& -4 & 4.5\\ 4.5 & 4.5 & 2 \end{bmatrix}\)
Q = \(\begin{bmatrix} 0& -1& -2.5\\ -1& 0& -1.5\\ -2.5& -1.5& 0\end{bmatrix}\)
Q = \(\begin{bmatrix} 0& -1& -2.5\\ -1& 0& -1.5\\ -2.5& -1.5& 0\end{bmatrix}\)
3
P = \(\begin{bmatrix} -7& 4 & 4.5\\ 4& 4 & 4.5\\ 4.5 & 4.5 & -2 \end{bmatrix}\)
Q = \(\begin{bmatrix} 0& 1& -2.5\\ -1& 0& 1.5\\ 2.5& -1.5& 0\end{bmatrix}\)
Q = \(\begin{bmatrix} 0& 1& -2.5\\ -1& 0& 1.5\\ 2.5& -1.5& 0\end{bmatrix}\)
4
P = \(\begin{bmatrix} -7& 4 & 4.5\\ 4& -4 & 4.5\\ 4.5 & 4.5 & -2 \end{bmatrix}\)
Q = \(\begin{bmatrix} 0& -1& -2.5\\ 1& 0& 1.5\\ 2.5& -1.5& 0\end{bmatrix}\)
Q = \(\begin{bmatrix} 0& -1& -2.5\\ 1& 0& 1.5\\ 2.5& -1.5& 0\end{bmatrix}\)