This post is incomplete. It is intended to be a summary of Hartshorne 2.1 plus a bit more.

This post talks about the existence of Jordan form by decomposing a vector space $V$ into direct sum of generalized eigenspaces.

This post proves the Cayley-Hamilton for finite $R$-modules, and generalize it to Nakayama’s lemma.

This post proves Cayley-Hamilton using invariant subspaces.

The first post.

A test of latex $(a^2+b^2+c^2)^2 \ge 3(a^3b+b^3c+c^3a)$ for any $a,b,c \in \mathbb{R}$.

$\prod$

test

blah blah blah blah

blah blah

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