Find the eigenvalues and eigenvectors of the following matrices. Do this by hand, but you

may check your answers using Python.

a$)([2,0],[0,1])$

b$)([0,2],[1,0])$

c$)([2,-1],[-1,2])$

d$)([2,-1,0],[-1,2,-1],[0,-1,2])$

e$)([0,-1],[1,0])$