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If A= [ array ccc 2 & -1 & 0 -1 & 3 & 0 1 & 0 & 1 array ] , then what is the value of det [ adj ( adj A)] ?

Options

  1. A5
  2. B25
  3. C125
  4. D625

Correct answer

D. 625

Step-by-step solution

Since, |A|=1(6-1)=5 Now, | adj ( adj A)|=| A |^ ( n -1)^2 =5^ (3-1)^2 =5^4=625

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