(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Give a proof:

Let C be a square matrix.

Show if C^(k+1)=0,

then I-C is nonsingular and (I-C)^-1=I+C+C^2+...+C^k.

2. Relevant equations

I don't know.

I can't find a theorm that will help me.

3. The attempt at a solution

I know if a matrix is nonsingular, it has an inverse.

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# Homework Help: Linear Algebra Help

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