i met a proof to cayley hamilton theorem and have some questions.(adsbygoogle = window.adsbygoogle || []).push({});

It uses that lambda*I - A is invertible. But lambda is surely an eigenvalue of A and 1/(lamda*I - A) is not legit so how is it legal to use that.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Cayley - hamilton theorem

**Physics Forums | Science Articles, Homework Help, Discussion**