Fix Iwasawa decomposition scheme

1 files changed, 4 insertions, 4 deletions

diff --git a/lineare_algebra.tex b/lineare_algebra.tex
index 31c87e4..a50864e 100644
--- a/lineare_algebra.tex
+++ b/lineare_algebra.tex
@@ -508,10 +508,10 @@ q_1    & \hspace{-3mm}\hdots\hspace{-3mm} & q_n \\
 \vdots & \vdots                           & \vdots
 \end{pmatrix}
 \begin{pmatrix}
-\langle q_1, a_1 \rangle & \langle q_1, a_2 \rangle & \hdots & \langle q_1, a_n \rangle \\
-0                        & \langle q_2, a_2 \rangle & \hdots & \langle q_2, a_n \rangle \\
-\vdots                   & \vdots                   & \ddots & \vdots                   \\
-0                        & 0                        & \hdots & \langle q_n, a_n \rangle
+||\tilde q_1|| & \langle q_1, a_2 \rangle & \hdots & \langle q_1, a_n \rangle \\
+0              & \ddots                   & \ddots & \vdots \\
+\vdots         & \ddots                   & \ddots & \langle q_{n-1}, a_n \rangle \\
+0              & \hdots                   & 0      & ||\tilde q_n||
 \end{pmatrix}$$
 
 \vspace*{-2mm}