mjo-linear_algebra: add the \spectrum{} of a linear operator.

[mjotex.git] / examples.tex

diff --git a/examples.tex b/examples.tex
index c7959732d44ce74297d43c228dd90ae267dd255a..0cf8afa51a90a84b624fee9a7f4232ae7ff9a52d 100644 (file)
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+++ b/examples.tex
@@ -170,7 +170,8 @@
     their tensor product is $\tp{x}{y}$. The Kronecker product of
     matrices $A$ and $B$ is $\kp{A}{B}$. The adjoint of the operator
     $L$ is $\adjoint{L}$, or if it's a matrix, then its transpose is
-    $\transpose{L}$. Its trace is $\trace{L}$. Another matrix-specific
+    $\transpose{L}$. Its trace is $\trace{L}$, and its spectrum---the
+    set of its eigenvalues---is $\spectrum{L}$. Another matrix-specific
     concept is the Moore-Penrose pseudoinverse of $L$, denoted by
     $\pseudoinverse{L}$. Finally, the rank of a matrix $L$ is
     $\rank{L}$. As far as matrix spaces go, we have the $n$-by-$n$