The diagonal elements of a skew symmetric matrix are all
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 0
A matrix A is called skew-symmetric if AT = -A.
This implies that for any entry aij}, it must hold that:
$a_{ij} = -a_{ji}$
In particular, for diagonal elements, where i = j:
$a_{ii} = -a_{ii}$
This implies:
$2a_{ii} = 0 \Rightarrow a_{ii} = 0$
Hence, all diagonal elements of a skew-symmetric matrix are zero.