Let A = a b c a ∀ a , b , c , ∈ 0 , 1 , 2 . If A is a singular matrix, then the number of possible matrices A are

Step-by-step solution

A = a 2 - b c = 0 (for a singular matrix) ⇒ a 2 = b c 7 cases a = 0 , b = 0 , c = 0 , 1 , 2 a = 0 , b = 1 , 2 , c = 0 a = 1 , b = 1 , c = 1 a = 2 b = 2 c = 2 Hence, total number of possible matrices = 7