added first draft for the diagonal matrix form of sylvester

documents/math-sylvester-diagonal-matrix/Makefile

@@ -0,0 +1,31 @@
+SOURCE = math-sylvester-diagonal-matrix
+DELAY = 80
+DENSITY = 300
+WIDTH = 500
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

documents/math-sylvester-diagonal-matrix/math-sylvester-diagonal-matrix.tex

@@ -0,0 +1,46 @@
+\documentclass{article}
+\usepackage[pdftex,active,tightpage]{preview}
+\setlength\PreviewBorder{2mm}
+
+\usepackage{amsmath,array}
+\renewcommand\arraycolsep{4pt} % default value: 6pt
+
+
+\begin{document}
+\begin{preview}
+\begin{equation*}
+\left( \,
+\begin{array}{r@{}r@{}r r r}  % @{} is used twice to suppress intercolumn whitespace
+  \overbrace{
+    \boxed{
+      \begin{array}{rrr}    % First block (1)
+        1 &        &   \\
+          & \ddots &   \\
+          &        & 1 \\
+      \end{array}
+    }
+  }^{r_+(s)-mal} \\
+  & 
+  \underbrace{
+    \boxed{
+      \begin{array}{rrr}    % Second block (-1)
+        -1 &        &   \\
+           & \ddots &   \\
+           &        & -1\\
+      \end{array}
+    }
+  }_{r_{-}(s)-mal} \\
+  & & 
+  \underbrace{
+    \boxed{
+      \begin{array}{rrr}    % Third block
+        0  &        &  \\
+           & \ddots &  \\
+           &        & 0\\
+      \end{array}
+    }
+  }_{r_0(s)-mal} \\
+\end{array}\,\right)
+\end{equation*}
+\end{preview}
+\end{document}