Eigenspaces are subspaces of Rn or Cn

• Doing the subspace test on eigenspaces is trivial, like for other subspaces.

• Need to understand why the eigenspace might be a subspace for ${\mathbb{R}}^n$ or ${\mathbb{C}}^n$.

Bases of Eigenspaces

• Having a bases for our eigenspaces will enable us to reach every vector in the respective eigenspace as a linear combination of those bases.