When determining the eigenvectors from matrix $A$:
$$
\begin{pmatrix}
1 & 0 \\
0 & 1 \\
\end{pmatrix}
$$
I found the eigenvalue to be $ \lambda = 1 $
calculating $ (A – 1*\lambda) $ gives me the matrix :
$$ \left[
\begin{array}{cc|c}
0&0&0\\
0&0&0
\end{array}
\right] $$
Which eigenvector would this produce?
Best Answer
For $\lambda=1$, the Eigenvector equation is
$$0v=0.$$
This clearly means that any vector is a solution.
By the way, this can be found directly by identifying
$$Av=\lambda v$$ and $$Iv=v.$$