If the matrix \( \begin{bmatrix}0 & -1 & 3x\\1 & y & -5\\-6 & 5 & 0\end{bmatrix} \) is skew symmetric , then the value of \( x+y \) is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2
In a skew symmetric matrix, \( a_{ji}=-a_{ij} \) and every diagonal entry is 0.
Diagonal entry: y = 0.
Entries (1, 3) and (3, 1): \( 3x=-(-6)=6 \), so x = 2.
Hence x + y = 2 + 0 = 2.