Maths-
General
Easy

Question

If A, B and C are three square matrices of the same size such that B = CAC–1, then CA3C–1 is equal to -

  1. B    
  2. B2    
  3. B3    
  4. B9    

The correct answer is: B3


    rightwards double arrowBC = CA thereforeCA3 C–1 rightwards double arrowC–1.B.C.=A= C.A.A.A.C–1
    rightwards double arrowC(C–1.B.C.)(C–1.BC)(C–1.BC).C–1
    rightwards double arrow(±)B.(I).(B).I(B).I = B3

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