- #1
- 68
- 0
if A is nilpotent " A^k = 0 , for some K > 0 " , prove that the matrix ( I+ A ) is invertible ..
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I found more than a topic in the website talk about this theorem biu every one of them didn't produce a complete proof !!
I found the question in artin book and I tried to solve this problem and I solved it when K is even , I could calculate the inverse but I hope to find the hole proof here ..
****
I found more than a topic in the website talk about this theorem biu every one of them didn't produce a complete proof !!
I found the question in artin book and I tried to solve this problem and I solved it when K is even , I could calculate the inverse but I hope to find the hole proof here ..