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

Options

  1. AStatement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
  2. BStatement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
  3. CStatement-1 is true, Statement-2 is false
  4. DStatement-1 is false, Statement-2 is true

Correct answer

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

Step-by-step solution

aligned & | adj A|=|A|^ n-1 =|A|²⁻¹=|A| & adj ( adj A)=|A|^ n-2 A=|A|^0 A=A aligned

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