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Math Help - Similar matrices

  1. #1
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    Similar matrices

    Given two matrices A and B that are similar, what is the procedure for finding the change of basis matrix, S with

    A=SBS^{-1}

    Thank you in advance.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    If A,B\in \mathbb{K}^{n\times n} are similar matrices, there is a method for finding S in a finite number of elemental transformations using the concept of equivalence of \lambda matrices.

    Another way is to use the fact that A,B have the same Jordan canonical form, etc. All of this would depend on your previous theoretical knowledge.


    Fernando Revilla
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