question_answer

Assertion [A]: For the matrix

Reason [A]: For any matrix A, AI = IA = A.

A) Both A and R are individually true and R is the correct explanation of A.

B) Both A and R are individually true and R is not the correct explanation of A.

C) 'A' is true but 'R' is false

D) 'A' is false but 'R' is true

E) Both A and R are false.

Correct Answer: B

Solution :

We know that \[AB=I=BA\Rightarrow B={{A}^{-1}}\]. Here     \[\Rightarrow \]Given Assertion [A] is true. Also \[AI=IA=A\Rightarrow \]Given Reason is true But given Reason is not correct explanation of A. Hence option [B] is the correct answer.