CUET Preparation Today
If the matrix A is both symmetric and skew-symmetric, then: |
A is a diagonal matrix A is a zero matrix A is a square matrix None of the above |
A is a zero matrix |
The correct answer is Option (2) → A is a zero matrix ## If A is both symmetric and skew-symmetric, then we have, $A' = A$ and $A' = -A$ $\Rightarrow A = -A$ $\Rightarrow A + A = 0$ $\Rightarrow 2A = 0$ $\Rightarrow A = 0$ Therefore, A is a zero matrix. |
