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AP EAMCET201824 Apr 2018Morning ShiftMathematicsDeterminantsActual

| array lll 125 & 5 & 25 343 & 7 & 49 729 & 9 & 81 array |=

Options

  1. A9 !
  2. B6 !
  3. C8 !
  4. D7 !

Correct answer

D. 7 !

Step-by-step solution

| array lll 125 & 5 & 25 343 & 7 & 49 729 & 9 & 81 array | Applying R₁ 1 5 R₁, R₂ 1 7 R₂, R₃ 1 9 R₃ =5 7 9 | array ccc 25 & 1 & 5 49 & 1 & 7 81 & 1 & 9 array | Applying R₂ R₂-R₁, R₃ R₃-R₁ =5 7 9 | array ccc 25 & 1 & 5 24 & 0 & 2 56 & 0 & 4 array | expanding for a₁₂ aligned & =-5 7 9(96-112) & =5.7 .9 .16 & =7 ! aligned

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