From: Michael Orlitzky <michael@orlitzky.com>
Date: Fri, 28 Jan 2022 02:12:11 +0000 (-0500)
Subject: eja: test the nonnegativity of trace() for squares.
X-Git-Url: http://gitweb.michael.orlitzky.com/?p=sage.d.git;a=commitdiff_plain;h=607ba10dfea185af919a1f60b3ec7c7432d93b2b

eja: test the nonnegativity of trace() for squares.
---

diff --git a/mjo/eja/eja_element.py b/mjo/eja/eja_element.py
index 0fd1c5f..bef1289 100644
--- a/mjo/eja/eja_element.py
+++ b/mjo/eja/eja_element.py
@@ -1512,6 +1512,12 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
             sage: (alpha*x + y).trace() == alpha*x.trace() + y.trace()
             True
 
+        The trace of a square is nonnegative::
+
+            sage: x = random_eja().random_element()
+            sage: (x*x).trace() >= 0
+            True
+
         """
         P = self.parent()
         r = P.rank()