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AP EAMCET202125 Aug 2021Evening ShiftMathematicsDeterminantsActual

If each element, of a determinant of third order with value A , is multiplied by 3 , then the value of newly formed determinant is

Options

  1. A3A
  2. B9A
  3. C27A
  4. D-27A

Correct answer

C. 27A

Step-by-step solution

Since, we know that, if P is any matrix of order n. Then, |K P|=K^n|P| , where K is constant. Given |P|=A , where P is of order 3 . |3 P|=3^3|P|=27 A

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