[FONT=CMR12][LEFT]What is eigenspace? this may seem like a general question but i cant find it online. I understand how to find the basis and eigenvectors, but im lost as to what the eigenspace is.

Here is the question that i am stuck on

Given that the eigenvalues of M =

2 -5 5

0 3 -1

0 -1 3

are 2, 2 and 4.

(a) Find the eigenspace corresponding to the eigenvalue 2. What is its dimension?