A 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 it must be the null matrix.
NCERT (2026-27 edition):
Matrices
