question_answer

Assertion (A): For a matrix  .

Reason (R):   For  a  square  matrix  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: A

Solution :

Given We know \[A\left( adj\,\,A \right)\,A=\left| A \right|\,I\] \[\therefore \,\]Both Assertion [A] and Reason (R) are true and R is the correct explanation of A. Hence option [A] is the correct answer.