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Question

Question: \[\left| \begin{matrix} 0 & p - q & p - r \\ q - p & 0 & q - r \\ r - p & r - q & 0 \end{matrix} \ri...

0 & p - q & p - r \\ q - p & 0 & q - r \\ r - p & r - q & 0 \end{matrix} \right| =$$
A

0

B

(pq)(qr)(rp)(p - q)(q - r)(r - p)

C

pqr

D

3pqr3pqr

Answer

0

Explanation

Solution

Since determinant of a skew-symmetric matrix of odd order is zero.