Update main.tex

Author: annadavismath

EIG-0020/main.tex

@@ -412,13 +412,7 @@ \section*{Practice Problems}
 \end{problem}
 
 \begin{problem}\label{prob:eigenspace1}
-In this exercise we will prove that the eigenvectors associated with an eigenvalue $\lambda$ of an $n \times n$ matrix $A$, together with the zero vector, form a subspace of $\RR^n$.  To do this, follow the outline below.
-
-\begin{enumerate}
-\item
-Let $\vec{x}$ and $\vec{y}$ be eigenvectors of $A$ associated with $\lambda$.  Show that $\vec{x}+\vec{y}$ is also an eigenvector of $A$ associated with $\lambda$.  (This shows that the set of eigenvectors of $A$ associated with $\lambda$ is closed under addition).
-\item Show that the set of eigenvectors of $A$ associated with $\lambda$ is closed under scalar multiplication.
-\end{enumerate}
+Prove that the eigenvectors associated with an eigenvalue $\lambda$ of an $n \times n$ matrix $A$, together with the zero vector, form a subspace of $\RR^n$. 
 \end{problem}
 
 \section*{Exercise Source}