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Question:

Let A be a 2x2 matrix. Statement 1: adj(adjA) = A. Statement 2: |adjA| = (|A|^(n-1)).

Statement 1 is true, Statement 2 is true,Statement 2 is a correct explanation for Statement1

Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.

Statement 1 is true, Statement 2 is false.

Statement 1 is false, Statement 2 is true

Solution:

We know for a matrix of order n, det(adj(A)) = det(A)^(n-1) and adj(adj(A)) = det(A)^(n-2)A.
But Statement 2 does not explain Statement 1
So, Option (B)