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

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

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

The answer is both right but 2 is not correct explanation of 1

Regards
Vikas TU
14149 Points
4 years ago
Answer is (B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
|adjA| = |A|^(n-1) = |A| 
Now 
adj(adjA) = |A|^n-2 A = A 

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