From f05f04fc4eedcadbd151320ff979bc33a68b82a1 Mon Sep 17 00:00:00 2001
From: Juan Marín Noguera <juan.marinn@um.es>
Date: Thu, 14 Jan 2021 14:11:47 +0100
Subject: Some errata

---
 anm/n1.lyx | 58 ++++++++++++++++++++++++++++------------------------------
 1 file changed, 28 insertions(+), 30 deletions(-)

(limited to 'anm')

diff --git a/anm/n1.lyx b/anm/n1.lyx
index 6dd1313..5e90765 100644
--- a/anm/n1.lyx
+++ b/anm/n1.lyx
@@ -1028,52 +1028,54 @@ Existe
 \end_layout
 
 \end_deeper
-\begin_layout Enumerate
-Si 
-\begin_inset Formula $A$
-\end_inset
+\begin_layout Standard
+\begin_inset ERT
+status open
 
- es simétrica real, existe 
-\begin_inset Formula $O$
-\end_inset
+\begin_layout Plain Layout
+
+
+\backslash
+sremember{AAlG}
+\end_layout
 
- ortogonal real con 
-\begin_inset Formula $O^{-1}AO$
 \end_inset
 
- diagonal.
+
 \end_layout
 
-\begin_deeper
 \begin_layout Standard
-En este caso, la matriz es diagonalizable en 
-\begin_inset Formula $\mathbb{R}$
+Toda matriz simétrica real 
+\begin_inset Formula $A\in{\cal M}_{m}(\mathbb{R})$
+\end_inset
+
+ admite una matriz ortogonal 
+\begin_inset Formula $P$
 \end_inset
 
+ tal que 
+\begin_inset Formula $P^{-1}AP=P^{t}AP$
+\end_inset
 
-\begin_inset Note Note
+ es diagonal.
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
 status open
 
 \begin_layout Plain Layout
-¿por qué?
-\end_layout
 
-\end_inset
 
-, por lo que podemos seguir los mismos pasos que en 
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "enu:unitary"
-plural "false"
-caps "false"
-noprefix "false"
+\backslash
+eremember
+\end_layout
 
 \end_inset
 
- usando el producto escalar euclídeo.
+
 \end_layout
 
-\end_deeper
 \begin_layout Standard
 Dada 
 \begin_inset Formula $A\in{\cal M}_{n}$
@@ -1762,7 +1764,6 @@ status open
 
 \begin_layout Plain Layout
 
-\series bold
 
 \backslash
 -
@@ -1776,7 +1777,6 @@ status open
 
 \begin_layout Plain Layout
 
-\series bold
 
 \backslash
 -
@@ -1790,7 +1790,6 @@ status open
 
 \begin_layout Plain Layout
 
-\series bold
 
 \backslash
 -
@@ -1804,7 +1803,6 @@ status open
 
 \begin_layout Plain Layout
 
-\series bold
 
 \backslash
 -
-- 
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