Question

Let {D₁, D₂, D₃, .....................D_n}be the set of all third order determinants that can be formed with the distinct nonzero real numbers a₁, a₂, ..........a₉, then

(a) \(\sum\limits_{i=1}^n D_i=1\)

(b) \(\sum\limits_{i=1}^n D_i=0\)

(c) \(D_i = D_j\forall i\text{ & j}\)

(d) None of these

Answer 1

Correct option is (b) \(\sum\limits_{i=1}^n D_i=0\)