Matrix inverse

  • Thread starter flop
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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]
 

Hurkyl

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Science Advisor
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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?
 
2
0
got it! thank you hurky
 

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