The matrix which is both symmetric and skew-symmetric, is a:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Null Matrix
If A is both symmetric and skew-symmetric, then \( A^{T}=A \) and \( A^{T}=-A \):
\( \displaystyle A=-A \)
\( \displaystyle 2A=O \)
\( \displaystyle A=O \)
So the matrix must be the null (zero) matrix.
NCERT (2026-27 edition):
Matrices
