Let be a matrix

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

Let AA be a 2×22\times2 matrix. Statement 1: adj⁡(adj⁡(A))=A\operatorname{adj}(\operatorname{adj}(A))=A. Statement 2: adj⁡(A)=∣A∣I\operatorname{adj}(A)=|A|I. (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 1. (3) Statement 1 is true, Statement 2 is false. (4) Statement 1 is false, Statement 2 is true.

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