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AP EAMCET201823 Apr 2018Evening ShiftMathematicsMatricesActual

If A= [ array cc 0 & -1 1 & 0 array ] , then the incorrect option among the following is

Options

  1. AA^3-I=A(A-I)
  2. B(A^3+I )=A (A^3-I )
  3. CA^4-I=A^2+I
  4. DA^2+I=A (A^2-l )

Correct answer

D. A^2+I=A (A^2-l )

Step-by-step solution

For the given matrix A= [ array cc 0 & -1 1 & 0 array ] the characteristics equation is A^2+I=0 , so the A^3=-A and A^4=I . Now, if we analyse, the option A^2+I=A (A^2-I ) is incorrect.

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