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AP EAMCET202316 May 2023Evening ShiftMathematicsDeterminantsActual

If P, Q and R are 3 3 matrices such that aligned & ( array ccc 3 x^2+x+3 & 2 x^2-x+4 & 7 x^2+8 x+5 5 x^2+3 x+2 & 4 x^2-2 x-1 & 7 x^2+5 x+8 3 x^2+2 x+5 & 4 x^2-x-2 & 3 x^2+8 x+7 array ) & =P x^2+Q x+R, then det R= aligned

Options

  1. A0
  2. B136
  3. C48
  4. D-72

Correct answer

B. 136

Step-by-step solution

Put x=0 in the given matrix ( array ccc 3 & 4 & 5 2 & -1 & 8 5 & -2 & 7 array )=R R=3 9+4 26+5=136

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