Recent content by Fochina

It is clear that the terms of the sequence tend to zero when n tends to infinity (for some α) but I cannot find a method that allows me to understand for which of them the sum converges. Neither the root criterion nor that of the relationship seem to work. I tried to replace ##\sqrt[n]{n}## with...

okok the answer now seems clear to me. I've made a lot of confusion for something that now seems very simple. thank you very much :biggrin:

I am very confused and I don't know if my attempt makes sense: Composing linear maps corresponds to multiplying the associated matrix each other. So we know that ##A## is the associated matrix with ##F## and ##F^{-1}F=I##. Now we have that ##XA## must be the matrix associated with the identity...

Hi! I don't understand how to demonstrate the following exercise. Let ##F: R^{n} \rightarrow R^{n}## be a linear map which is invertible. Show that if ##A## is the matrix associated with ##F##, then ##A^{-1}## is the matrix associated with the inverse of ##F##.