Summary

Licensing

I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Source

Created by Gustavb using PSTricks.

Gram–Schmidt process.tex (PSTricks source)

\TeXtoEPS

\psset{linecolor=black,linewidth=1pt,arrowsize=8pt}
\psset{unit=2cm,linewidth=.8pt}
\pspicture*(-1.1,-.2)(3.6,2.2)

\psline{->}(0,0)(3,1)                      % u1
\psline{->}(0,0)(2,2)                      % v2
\psline{->}(0,0)(2.4,.8)                   % proj u1 v2
\psline{->}(0,0)(-.4,1.2)                  % u2
\psline{->}(0,0)(.9486832980,.3162277660)  % e1
\psline{->}(0,0)(-.3162277660,.9486832980) % e2

\psset{linestyle=dashed,dashadjust=false,linewidth=.5pt}
\psline[dash=.12 .1](2,2)(2.4,.8)
\psline[dash=.12 .1](2,2)(-.4,1.2)

\uput{6pt}[315](3,1){\psscalebox{1.6}{${\bf u}_1$}}
\uput{4pt}[25](3,1){\psscalebox{1.6}{${\bf v}_1$}}
\uput{6pt}[335](2,2){\psscalebox{1.6}{${\bf v}_2$}}
\uput{12pt}[265](2.4,.8){\psscalebox{1.2}{${\rm proj}_{{\bf u}_1}{\bf v}_2$}}
\uput{6pt}[200](-.4,1.2){\psscalebox{1.6}{${\bf u}_2$}}

\uput{10pt}[270](.9486832980,.3162277660){\psscalebox{1.6}{${\bf e}_1$}}
\uput{6pt}[220](-.3162277660,.9486832980){\psscalebox{1.6}{${\bf e}_2$}}

\endpspicture

\endTeXtoEPS
\nopagenumbers
\end

Instructions

1. Create EPS
   

   $ tex Gram-Schmidt_process.tex && dvips -E Gram-Schmidt_process.dvi

2. Outline fonts
   

   $ eps2eps -dNOCACHE Gram-Schmidt_process.ps Gram-Schmidt_process2.eps

3. Fix bounding box
   

   $ ps2epsi Gram-Schmidt_process2.eps Gram-Schmidt_process.eps

4. Convert to Sketch
   

   $ pstoedit -f sk Gram-Schmidt_process.eps Gram-Schmidt_process.sk

5. Convert to SVG
   

   $ skconvert Gram-Schmidt_process.sk Gram-Schmidt_process.svg

6. Fix Gram-Schmidt_process.svg with Inkscape