CUET Preparation Today
If a matrix A is both symmetric and skew-symmetric, then : |
A is a diagonal matrix A is a zero matrix A is a scalar matrix A is a square matrix |
A is a zero matrix |
The correct answer is Option (2) → A is a zero matrix A is symmetric ⇒ $A=A^T$ A is skew-symmetric ⇒ $A^T=A$ if both hold, $A=A^T=-A$ $∴A=-A⇒2A=0⇒A=0$ |
