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comment find new base vectors based on old ones and the given matrices in both bases
So far I found only solutions on the internet which use generalized eigenvectors and nilpotent etc. which are all terms we haven't learnt yet.. So I somehow need another way to find the base vectors.. So just if I knew matrix $A$ has another looking $B$ in another base independent of Jordan form etc.
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@ArturoMagidin: Thank's again for your help. I tried to explicitly state the induction now. I hope it's better now. I wonder if I can do the base case for atoms since they don't have strict subformulaes at all. Do I need a base case where there exist stric subformulaes?
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@ArturoMagidin: Thanks for your help. Updated my original question post. Still looks a little bit faulty..
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@ArturoMagidin: Please see my attempt in my original question post.<br>@Chris Eagle: I'll add the definition to my original question post.
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