CUET Preparation Today
If a matrix P is both symmetric and skew-symmetric, then |
P is a diagonal matrix P is a square matrix P is a zero matrix P is an identity matrix |
P is a zero matrix |
The correct answer is Option (3) → P is a zero matrix Given: P is both symmetric and skew-symmetric. $Symmetric: P^T = P$ $Skew-symmetric: P^T = -P$ $Equating: P = -P \Rightarrow 2P = 0 \Rightarrow P = 0$ Hence, P is a zero matrix. |
