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BITSAT2012MathematicsDeterminantsActual

The value of the determinant | array lll 265 & 240 & 219 240 & 225 & 198 219 & 198 & 181 array | is

Options

  1. A1000
  2. B779
  3. C679
  4. D0

Correct answer

D. 0

Step-by-step solution

Applying C ₁- C ₂ and C ₂- C ₃, we get aligned Det. &= | array ccc 25 & 21 & 219 15 & 27 & 198 21 & 17 & 181 array |= | array ccc 4 & 21 & 9 -12 & 27 & -72 4 & 17 & 11 array | =& [ array llc 4 & 21 & 9 0 & 90 & -45 0 & -4 & 2 array [ By R ₂+3 R ₁, R ₃- R ₁ ] . =4(180-180)=0 aligned

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