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The inverse of open square brackets table row 1 2 3 row 0 1 2 row 0 0 1 end table close square bracketsis

  1. open square brackets table row 1 cell negative 2 end cell 1 row 0 1 cell negative 2 end cell row 0 0 0 end table close square brackets    
  2. open square brackets table row 1 cell negative 2 end cell 1 row 0 1 cell negative 2 end cell row 0 0 1 end table close square brackets    
  3. open square brackets table row 1 2 1 row 0 1 2 row 0 0 1 end table close square brackets    
  4. None of these    

The correct answer is: open square brackets table row 1 cell negative 2 end cell 1 row 0 1 cell negative 2 end cell row 0 0 1 end table close square brackets


    Let A equals open square brackets table row 1 2 3 row 0 1 2 row 0 0 1 end table close square brackets rightwards double arrow vertical line A vertical line equals 1 left parenthesis 1 plus 0 right parenthesis equals 1
    A d j left parenthesis A right parenthesis equals open square brackets table row cell A subscript 11 end subscript end cell cell A subscript 21 end subscript end cell cell A subscript 31 end subscript end cell row cell A subscript 12 end subscript end cell cell A subscript 22 end subscript end cell cell A subscript 32 end subscript end cell row cell A subscript 13 end subscript end cell cell A subscript 23 end subscript end cell cell A subscript 33 end subscript end cell end table close square brackets
    A d j left parenthesis A right parenthesis equals open square brackets table row 1 cell negative 2 end cell 1 row 0 1 cell negative 2 end cell row 0 0 1 end table close square brackets
    A to the power of negative 1 end exponent equals fraction numerator A d j left parenthesis A right parenthesis over denominator vertical line A vertical line end fraction equals open square brackets table row 1 cell negative 2 end cell 1 row 0 1 cell negative 2 end cell row 0 0 1 end table close square brackets.

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