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Matrix inverse

  1. Jun 29, 2005 #1
    Given that [itex]C[/itex] is a matrix and that [itex]I - C[/itex] is invertible, could someone show me the following?

    [itex]\|(I - C)^{-1}\| \leq \|I\| + \|C\| + \|C\|^2 + \cdots [/itex]
     
  2. jcsd
  3. Jun 29, 2005 #2

    Hurkyl

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    That formula looks awfully similar to:

    [tex]
    \frac{1}{1 - x} = 1 + x + x^2 + x^3 + \cdots
    [/tex]

    Maybe the method of proof is similar?
     
  4. Jun 29, 2005 #3
    got it! thank you hurky
     
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