The correct values of a, b and c for which the matrix \(\begin{bmatrix}0 & a & 3\\ 2 & b & -1\\ c & 1 & 0\end{bmatrix}\) is a Skew symmetric matrix are :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(a = -2, b = 0, c = -3\)
A matrix is skew-symmetric when \(a_{ji} = -a_{ij}\) for all i, j. Then every diagonal element is 0, since \(a_{ii} = -a_{ii}\).
\(\text{diagonal: } b = 0\)
\(a_{12} = -a_{21}:\quad a = -2\)
\(a_{31} = -a_{13}:\quad c = -3\)
The remaining pair also fits: \(a_{23} = -1\) and \(a_{32} = 1\).
So a = −2, b = 0, c = −3.