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Several matrix inverse properties

  1. Nov 1, 2012 #1
    Hi,

    I'm specifically trying to compute (VΔYT)-1, where V is nxn and orthogonal, Δ is diagonal, and Y is nonsingular.

    In general we have (AB)-1 = B-1A-1

    But how do we do this in general for many matrices? Is there a method, and as long as the matrix dimensions agreed, does the structure (i.e. orthogonal, nonsingular, SPD, etc) matter when computing the inverse of multiple matrices?

    I can't find this anywhere on the internet.

    Thanks
     
  2. jcsd
  3. Nov 1, 2012 #2

    micromass

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    [tex](ABC)^{-1}=(A(BC))^{-1}=(BC)^{-1}A^{-1}=C^{-1}B^{-1}A^{-1}[/tex]

    Was that what you were looking for?
     
  4. Nov 1, 2012 #3
    exactly what I was looking for. Thanks
     
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