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The determinant of matrix $\begin{bmatrix}
0 & p-q  & p-r \\ 
q-p &0  & q-r\\ 
r-p &r-q  &0 
\end{bmatrix}$ is ____________.

 

  1. $0$

  2. $(p - q) (q - r) (r - p)$

  3. $pqr$

  4. $3pqr$

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Answer is: Option A) 0.  

When a triangular matrix is singular (because of a zero on the main diagonal) its determinant is zero.