$A=\begin{bmatrix}0&α&β\\-α&0&γ\\-β&-γ&0\end{bmatrix}$ is a
(A) square matrix
(B) diagonal matrix
(C) symmetric matrix
(D) skew-symmetric matrix
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A) and (D) only
$A=\begin{bmatrix}0&α&β\\-α&0&γ\\-β&-γ&0\end{bmatrix}_{3×3}$
A is square matrix as $m=n=3$
A is skew-symmetric as
$A^T=-A$