The matrix $A=\begin{bmatrix} 0 & -5 & 8 \\5 & 0 & 12\\-8 & -12 & 0 \end{bmatrix}$ is a

diagonal matrix symmetric matrix skew symmetric matrix scalar matrix

skew symmetric matrix

The correct answer is Option (3) → skew symmetric matrix $A=\begin{bmatrix} 0 & -5 & 8 \\5 & 0 & 12\\-8 & -12 & 0 \end{bmatrix}$ $A^T=\begin{bmatrix} 0 & 5 & -8\\-5 & 0 & -12\\8 & 12 & 0 \end{bmatrix}$ $A=-A^T$ ⇒ A is skew symmetric