From dc7ad4e3501556f55ef7a3a5508976e790c28bae Mon Sep 17 00:00:00 2001
From: Hans Olsson <HansOlsson@users.noreply.github.com>
Date: Fri, 20 Mar 2020 09:38:46 +0100
Subject: [PATCH] Clarify symmetric, outerProduct, skew etc. (#2485)

* Clarify symmetric, outerProduct, skew etc.
Closes #2295
---
 chapters/arrays.tex | 13 ++++++-------
 1 file changed, 6 insertions(+), 7 deletions(-)

diff --git a/chapters/arrays.tex b/chapters/arrays.tex
index 4e4806123..b8c1f54fb 100644
--- a/chapters/arrays.tex
+++ b/chapters/arrays.tex
@@ -505,9 +505,10 @@ \subsubsection{Reduction Expressions}\doublelabel{reduction-expressions}
 \subsection{Matrix and Vector Algebra Functions}\doublelabel{matrix-and-vector-algebra-functions}
 
 The following set of built-in matrix and vector algebra functions are
-available. The function transpose can be applied to any matrix. The
-functions outerProduct, symmetric, cross and skew require Real/Integer
-vector(s) or matrix as input(s) and returns a Real vector or matrix:
+available. The function transpose and symmetric can be applied to any matrix. The
+functions outerProduct, cross and skew require Real/Integer
+vector(s) or matrix as input(s) and returns a Real/Integer vector or matrix (the result is only Integer
+if the input/all inputs are Integer):
 
 \begin{longtable}[]{|p{3.5cm}|p{11.5cm}|}
 \caption{Matrix and vector algebra functions.}\\
@@ -521,10 +522,8 @@ \subsection{Matrix and Vector Algebra Functions}\doublelabel{matrix-and-vector-a
 & Returns the outer product of vectors v1 and v2 ( = matrix(v1)*transpose(
 matrix(v2) ) ).\\ \hline
 \lstinline!symmetric(A)!
-& Returns a matrix where the diagonal elements and the elements above the
-diagonal are identical to the corresponding elements of matrix A and
-where the elements below the diagonal are set equal to the elements
-above the diagonal of A, i.e., \lstinline!B := symmetric(A) ->!
+& Returns a symmetric matrix which is identical to the square matrix \lstinline!A!
+on and above the diagonal, i.e., \lstinline!B := symmetric(A) ->!
   \lstinline!B[i,j] := A[i,j], if i <= j, ! \lstinline! B[i,j] := A[j,i], if i > j!.\\ \hline
 \lstinline!cross(x,y)!
 & Returns the cross product of the 3-vectors x and y, i.e.