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NDA2017MathematicsMatricesActual

If A= [ array ll 0 & 1 1 & 0 array ] , then the value of A^4 is

Options

  1. A[ array ll 1 & 0 0 & 1 array ]
  2. B[ array ll 1 & 1 0 & 0 array ]
  3. C[ array ll 0 & 0 1 & 1 array ]
  4. D[ array ll 0 & 1 1 & 0 array ]

Correct answer

A. [ array ll 1 & 0 0 & 1 array ]

Step-by-step solution

aligned & A= [ array ll 0 & 1 1 & 0 array ] & A^4=A^2 A^2 & = [ array ll 0 & 1 1 & 0 array ] [ array ll 0 & 1 1 & 0 array ] [ array ll 0 & 1 1 & 0 array ] [ array ll 0 & 1 1 & 0 array ] & = [ array ll 1 & 0 0 & 1 array ] [ array ll 1 & 0 0 & 1 array ] & = [ array ll 1 & 0 0 & 1 array ] aligned

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