Update main.tex

Author: annadavismath

EIG-0020/main.tex

@@ -367,7 +367,7 @@ \section*{Practice Problems}
 $$\lambda=\cos\theta\pm\sqrt{\cos^2\theta-1}$$
 Use algebra, then use geometry to explain why $\lambda$ is a real number if and only if $\theta$ is a multiple of $\pi$.  
 
-Suppose $\theta$ is a muliple of $\pi$.  Then the eigenspaces corresponding to the two eigenvalues are the same.  Which of the following describes the eigenspace?
+Suppose $\theta$ is a muliple of $\pi$.  Then $\lambda =\answer{-1}$ has algebraic multiplicity $\answer{2}$.  Which of the following describes the corresponding eigenspace?
 \begin{multipleChoice}
     \choice[correct]{All vectors in $\RR^2$.}
     \choice{All vectors along the $x$-axis.}