Let P =     2 α       5 - 3 α 2 and Q = 2 l - m 5 n are two matrices, where l ,   m ,   n ,   α ∈ R , then the value of determinant P Q is equal to

Step-by-step solution

P Q =   4 l α - 2 m α   10 n α   10 l - 5 m     25 n - 6 l α 2     3 m α 2       - 15 n α 2 P Q = 4 l α - 2 m α     10 n α 10 l - 5 m     25 n - 6 l α 2     3 m α 2 - 15 n α 2 = 2 l m 5 n 2 α - 2 α     2 α 5 - 5     5 - 3 α 2     3 α 2 - 3 α 2 Here, C 1 and C 3 are identical ⇒ P Q = 0