If \(A = [a_{ij}]\) is skew symmetric matrix of order 'n', then
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(a_{ij}=0\) for \(i = j\)
A is skew symmetric, so \(A' = -A\), that is,
\(a_{ji} = -a_{ij}\) for all i, j
Putting \(j = i\):
\(a_{ii} = -a_{ii}\)
\(2a_{ii} = 0\)
\(a_{ii} = 0\)
So every diagonal element is zero: \(a_{ij} = 0\) for \(i = j\).
NCERT (2026-27 edition):
Symmetric and Skew Symmetric Matrices
