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AP EAMCET20225 Jul 2022Evening ShiftMathematicsMatricesActual

If A= [ array ll x & 0 1 & 1 array ] and B= [ array ll 8 & 0 7 & 1 array ] and A^3=B , then x=

Options

  1. A-2 or 3
  2. B-2
  3. C2 or -3
  4. D2

Correct answer

D. 2

Step-by-step solution

A A = A ^2= [ array ll x & 0 1 & 1 array ] [ array ll x & 0 1 & 1 array ]= [ array cc x^2 & 0 x+1 & 1 array ]A^3=A^2 A= [ array cc x^2 & 0 x+1 & 1 array ] [ array ll x & 0 1 & 1 array ]= [ array cc x^3 & 0 x(x+1)+1 & 1 array ] aligned & A ^3= B & x^3=8 & x=2 aligned

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