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Question

If A = open square brackets table row 1 2 row 3 5 end table close square brackets, then A–1 is equal to :

  1. open square brackets table row 5 2 row 3 1 end table close square brackets    
  2. open square brackets table row cell – 5 end cell 3 row 2 cell – 1 end cell end table close square brackets    
  3. open square brackets table row cell – 5 end cell 2 row 3 cell – 1 end cell end table close square brackets    
  4. none of these    

The correct answer is: open square brackets table row cell – 5 end cell 2 row 3 cell – 1 end cell end table close square brackets


    A–1 = fraction numerator a d j   A over denominator vertical line A vertical line end fraction
    because |A| = – 1
    adj A = open square brackets table row 5 cell – 2 end cell row cell – 3 end cell 1 end table close square brackets
    so, A–1 = open square brackets table row cell – 5 end cell 2 row 3 cell – 1 end cell end table close square brackets

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