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Need help with mathematical induction

  1. Apr 20, 2012 #1
    Hey guys I am in precalculus right now and we just started picking up mathematical induction. Our teacher assigned us a problem that I am stumped over and I tried looking all over for a clear explanation online but I can't find anything remotely helpful. The question is:

    Use mathematical induction to prove A = (2 0
    0 3)^n =


    (2^n 0
    0 3^n) for every positive integer n




    Thank you!
     
  2. jcsd
  3. Apr 20, 2012 #2
    These are matrices, correct? Why not just try a couple examples of n, say n = 1. Then n = 2. Then n = 3. The pattern should be clear then and you could make a more general proof.

    Matrix multiplication is all you need, e.g.: [A]^2 = [A]*[A]
     
  4. Apr 21, 2012 #3

    HallsofIvy

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    Did you read the regulations that you agreed to abide by when you registered for this forum? You must make a valid attempt to solve the problem yourself and show your attempt here. Do you know how to multiply matrices? Do you know what "proof by induction" is?
     
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