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Question

Question: The value of \(\left| \begin{matrix} 0 & a - b & a - c \\ b - a & 0 & b - c \\ c - a & c - b & 0 \en...

The value of 0abacba0bccacb0\left| \begin{matrix} 0 & a - b & a - c \\ b - a & 0 & b - c \\ c - a & c - b & 0 \end{matrix} \right| is

A

0

B

abc

C

(a – b) (b – c) (c – a)

D

None of these

Answer

0

Explanation

Solution

Given det. is skew symmetric det. of odd order. Then value of det. is zero.