1whats this b1,c1...can u explain this in refference with the question????
Can any one explain me the elements of these determinant??
Let {D1,D2.......,Dn}be the set of all third order determinants that can be formed with the distinct non-zero real numbers a1,a2....,an,then
(A) \sum_{i=1}^{}{n}Di=1
(B)\sum_{i=1}^{}{n}Di=0
(C)Di=Dj for all i,j
(D) none.
Answer given:(B)
????
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3 Answers
1\begin{vmatrix} a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3 \end{vmatrix} =a_1b_2c_3+a_2b_3c_1+a_3b_1c_2-(a_3b_2c_1+a_1b_3c_2+a_2b_1c_3)
now all the permutations will eventually cancel each other out
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