題組內容

3. An anti-symmetric matrix A as follow: \[ A = \begin{bmatrix} 0 & \frac{2}{3} & -\frac{1}{3} \\ -\frac{2}{3} & 0 & \frac{2}{3} \\ \frac{1}{3} & -\frac{2}{3} & 0 \end{bmatrix} \]

(a) Calculate the determinant for A (5 %)