1) If the inverse of the matrix [α14−1231623] does not exist, then the value of α is A) 1 B) -1 C) 0 D) -2 Answer: Option DExplanation:Let A= [α14−1231623] ⇒ |A|= [α14−1231623]= =α(9−2)−14(6−6)−1(4−18)=7α−0+1×14 |A|= 7α+14 It is given that inverse of A does not exists ∴ |A|=0 ⇒ 7α+14=0 ⇒ α =-2
