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JEE Main202226 Jul 2022Evening ShiftMathematicsMatricesActual

Let A = 1 1 1 and B = 9 2 - 10 2 11 2 12 2 13 2 - 14 2 - 15 2 16 2 17 2 , then the value of A ' B A is;

Options

  1. A1224
  2. B1042
  3. C540
  4. D539

Correct answer

D. 539

Step-by-step solution

Given A = 1 1 1 and B = 9 2 - 10 2 11 2 12 2 13 2 - 14 2 - 15 2 16 2 17 2 then A ' = 1 1 1 So A ' B = 1 1 1 9 2 - 10 2 11 2 12 2 13 2 - 14 2 - 15 2 16 2 17 2 = 9 2 + 12 2 - 15 2 - 10 2 + 13 2 + 16 2 11 2 - 14 2 + 17 2 = 0 325 214 Now A ' B A = 0 325 214 1 1 1 = 325 + 214 = 539

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