With
we have
so 
has one eigenvalue, 
, with multiplicity 3.
In order for to not be defective, we need the dimension of the eigenspace to match the multiplicity of the repeated eigenvalue 2. But 
has nullspace of dimension 2, since
That is, we can only obtain 2 eigenvectors,
and there is no other. We needed 3 in order to complete the basis of eigenvectors.
7/3 is represented by a non terminating decimal (2.333...)
You write ten thousand in numbers like this 10,000
