• # question_answer Directions: Questions No. 89 are Assertion - Reason type questions. Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice. Let A be a 2 × 2 matrix Statement 1: adj (adj A) = A Statement 2:$|adj\text{ }A|=|A|$     AIEEE  Solved  Paper-2009 A) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-1B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for statement-1.C) Statement-1 is true, statement-2 is false.D) Statement-1 is false, Statement-2 is true

$adj(adjA)=|A{{|}^{n2}}A,$where$|A|=$determinant of A but$n=2$ $\Rightarrow$A also $|adjA|=|A{{|}^{n-1}}\Rightarrow |A|$ Statement-1 is true and Statement-2 is also true and Statement-2 is correct explanation of Statement-1.