diff --git a/report.tex b/report.tex
index 7f5d33f..a813424 100644
--- a/report.tex
+++ b/report.tex
@@ -290,11 +290,11 @@
 
     The eigenvalues are $\lambda_1 = \lambda_2 = \lambda_3 = 0$, $\lambda_4 = -1$ and $\lambda_5 = 1$. The eigenvectors are
     \begin{equation}
-      \myvec{e}_1 = \mqty(0\\0\\0\\-1\\1),
+      \myvec{e}_1 = \mqty(1\\0\\0\\0\\0),
       \myvec{e}_2 = \mqty(0\\0\\-\xi_3\\0\\\xi_1),
       \myvec{e}_3 = \mqty(0\\0\\-\xi_2\\\xi_1\\0),
-      \myvec{e}_4 = \mqty(0\\-1\\0\\0\\0),
-      \myvec{e}_5 = \mqty(0\\1\\0\\0\\0).
+      \myvec{e}_4 = \mqty(0\\1\\\xi_1\\\xi_2\\\xi_3),
+      \myvec{e}_5 = \mqty(0\\-1\\\xi_1\\\xi_2\\\xi_3).
     \end{equation}
   \end{frame}