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Implicit Function Theorem Tricky Proof on matrices?

  1. Apr 22, 2009 #1
    Implicit Function Theorem ...Tricky Proof on matrices!?

    1. The problem statement, all variables and given/known data

    Implicit Function Theorem ... Tricky Proof on matrices!?
    Show with the Implicit Function Theorem, that an n x n matrix B, can be solved for as a continuous differentiable function of a matrix A (which is n x n), from the equation BAB = id, given that || A - id || is sufficiently small.

    Can someone outline the solution to this problem? I don't know how to proceed with the proof.

    Can you please show all the steps of the proof?
     
  2. jcsd
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