JEE Main 2009 Mathematics question

Let A be a 2 × 2 matrix Statement-1 : adj(adj A) = A Statement-2 : |adj A| = |A|

(1)Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
(2)Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1Correct
(3)Statement-1 is true, Statement-2 is false
(4)Statement-1 is false, Statement-2 is true

Answer: (2)

Solution

For an n×n matrix, and . For n = 2 both give A and |A| — both statements true. But Statement 1 does

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Question ID VK-039184