If $Δ=\begin{bmatrix}0 & b-a & c-a\\a-b & 0 & c-b\\ a-c & b-c & 0\end{bmatrix},$ then Δ equals
Answer & explanation
Correct answer: option 4
The correct answer is option (4) : 0
Clearly, Δ is the determinant of the skew-symmetric matrix A pf odd number where
$A=\begin{bmatrix}0 & b-a & c-a\\a-b & 0 & c-b\\ a-c & b-c & 0\end{bmatrix}$
$∴Δ=|A|= 0 $