Let M and N be two 3×3 non-singular skew-symmetric matrices such that MN = NM. If P^T denotes the transpose of P, then M^2N^2 (M^TN )^ -1 (MN^ -1 )^T is equal to

JEE Advanced 2011 Mathematics question

Let M and N be two 3×3 non-singular skew-symmetric matrices such that MN = NM. If denotes the transpose of P, then is equal to

(A)
(B)
(C)Correct
(D)MN

Answer: (C)

Solution

Status: BONUS / MARKS TO ALL. Mathematical status: the premise of the question is impossible. For a skew-symmetric matrix , so for a 3×3 matrix , which gives . Hence a non-singular 3×3 skew-symmetric matrix cannot exist, and

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-025929