JEE Advanced Mathematics question

Let be the set of third-order determinants that can be made with the distinct nonzero real numbers . Then

(A)Correct
(B)Correct
(C)at least one
(D)none of these

Answer: (A),(B)

Solution

**(a) True.** A determinant is fixed by placing the 9 distinct numbers in the 9 positions, which can be done in ways. - **(b) True.** Pair each arrangement with the one obtained by interchanging its first two rows. This pairing is one-to-one, and the two determinants in a pair are negatives of each other. So the

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-108287