Question

What will be the value of the given determinant \(\begin{vmatrix}109 & 102 & 95 \\6 & 13 & 20 \\1 & -6 & 13 \end {vmatrix}\)?

(a) constant other than 0

(b) 0

(c) 100

(d) -1997

I had been asked this question during an interview.

This is a very interesting question from Application of Determinants in section Determinants of Mathematics – Class 12

Answer 1

Correct option is (b) 0

To explain I would say: In the given determinant form the elements are in A.P

Also the common difference of this A.P is 7

Thus the value of the given determinant = 0