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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D">Hi Jacob, Yuk, Carl,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D">I am going to have to spend some time learning more about Maxima, but what you have given me will help me start moving in the right direction. Thanks!<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D">Best regards,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:black">Gene L. Harding, PE<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:black">Associate Professor of ECET<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:black">574-520-4190</span><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
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<p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"> lon-capa-users-bounces@mail.lon-capa.org [mailto:lon-capa-users-bounces@mail.lon-capa.org]
<b>On Behalf Of </b>Jacob Bond<br>
<b>Sent:</b> Tuesday, February 13, 2018 1:51 PM<br>
<b>To:</b> Discussion list for LON-CAPA users <lon-capa-users@mail.lon-capa.org><br>
<b>Subject:</b> [LON-CAPA-users] {Disarmed} Re: {Disarmed} RE: Matrix Operations<o:p></o:p></span></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p><span style="font-family:"Calibri",sans-serif;color:black">Hi all,<o:p></o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black"><o:p> </o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black">Given an array </span>
<span style="font-family:"Courier New";color:black">@mat</span><span style="font-family:"Calibri",sans-serif;color:black"> of matrix entries, this will build the Maxima syntax for the
</span><span style="font-family:"Courier New";color:black">$rows</span><span style="font-family:"Calibri",sans-serif;color:black"> x
</span><span style="font-family:"Courier New";color:black">$cols</span><span style="font-family:"Calibri",sans-serif;color:black"> matrix with entries
</span><span style="font-family:"Courier New";color:black">@mat</span><span style="font-family:"Calibri",sans-serif;color:black">:<o:p></o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black"><o:p> </o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black">my $maxima_mat = 'matrix(';<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black">my @mat_copy = @mat;<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black">for my $i (0..$rows-1) {<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black"> my @row = splice(@mat_copy, 0, $cols);<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black"> $maxima_mat .= '['.join(',', @row).']';<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black"> if ($i != $rows-1) {$maxima_mat .= ',';}<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black">}<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black">$maxima_mat .= ')';<o:p></o:p></span></p>
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<p><span style="font-family:"Calibri",sans-serif;color:black"><o:p> </o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black">Then you can invert it and break it back into an array like this:<o:p></o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black"><o:p> </o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black">my $inv = cas('maxima', "list_matrix_entries(invert($maxima_mat));");<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black">$inv =~ s/\[|\]//g; #remove the leading and trailing []<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black">my @mat_inv = split(',', $inv);<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Calibri",sans-serif;color:black"><o:p> </o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black">I suppose it's not the prettiest, but it's certainly shorter than Perl functions for all of the matrix operations. You could even wrap the code into Perl functions
</span><span style="font-family:"Courier New";color:black">matrix_to_maxima</span><span style="font-family:"Calibri",sans-serif;color:black"> and
</span><span style="font-family:"Courier New";color:black">matrix_from_maxima</span><span style="font-family:"Calibri",sans-serif;color:black">. You could also write similar functions if you are using a Perl "matrix" (<a href="https://secure-web.cisco.com/1ovdfYe-tuT292ryIaY_hIwMmgvYAUJf0f_mBR3JHYuhs8KpquoITY5btMA5FerhDihthb2xaG3vAgcRrIqfC-hTiUSWRa0s6fSGMXPNfXJbJGjHp8bFFnLg9pDEemnaa9X-sWs4ERqLUUGRRHprdonLazR0XPTW2KpZ0iOwN9I2eR-SgL1FkjGhp-mqmFCZs4pjhzzg8gjG1kL28l2EzVrDsMJXKpdZpJWG_htKWbQqhWXYXKEoOkbesRQi1grndsfSDCC1BUqIfMr3xvmGTQay9DzOwuSEkbuqHLoj3HLjvxZ9RyOLHhp7vVsaCIGfO56tDwNQUaYBjtw0T5dXbmmULd57Zgis4_K_Dn-cBaMY/https%3A%2F%2Fperlmaven.com%2Fmulti-dimensional-arrays-in-perl" id="LPlnk518772"><font color="red"><b>MailScanner has detected a possible fraud attempt from "secure-web.cisco.com" claiming to be</b></font> https://perlmaven.com/multi-dimensional-arrays-in-perl</a>)
instead of a flat array.</span><span style="font-family:"Courier New";color:black"><br>
<br>
</span><span style="font-family:"Calibri",sans-serif;color:black"><o:p></o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black"><o:p> </o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black">Best,<o:p></o:p></span></p>
<p><span style="font-family:"Calibri",sans-serif;color:black">Jacob<o:p></o:p></span></p>
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<p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:black">From:</span></b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:black">
<a href="mailto:lon-capa-users-bounces@mail.lon-capa.org">lon-capa-users-bounces@mail.lon-capa.org</a> <<a href="mailto:lon-capa-users-bounces@mail.lon-capa.org">lon-capa-users-bounces@mail.lon-capa.org</a>> on behalf of Liu, Yuk Tung <<a href="mailto:ytliu@illinois.edu">ytliu@illinois.edu</a>><br>
<b>Sent:</b> Tuesday, February 13, 2018 12:08:23 PM<br>
<b>To:</b> Discussion list for LON-CAPA users<br>
<b>Subject:</b> [LON-CAPA-users] {Disarmed} RE: Matrix Operations</span> <o:p></o:p></p>
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<p class="MsoNormal"> <o:p></o:p></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black"><br>
Hi all,<br>
<br>
Lon Capa supports both Maxima and R. They can be used to do matrix operations. I can't find examples involving matrix, but you can go to
<a href="https://loncapa.msu.edu/adm/help/Creating_Math_Response_Problems.hlp">https://loncapa.msu.edu/adm/help/Creating_Math_Response_Problems.hlp</a> and
<a href="http://www.lon-capa.org/documentation.html">http://www.lon-capa.org/documentation.html</a> to see examples of using Maxima and R.
<br>
<br>
A couple years ago, I wanted to create problems involving regressions. I used R to do that, but it only worked if the data size was not too big. So I wrote my own perl functions to perform regressions. Regressions involve matrix inversion, which I used Cholesky
decomposition since the matrix I worked with is symmetric and positive-definite.<br>
<br>
Yuk Tung Liu<br>
E-Learning Specialist<br>
Department of Statistics<br>
University of Illinois<br>
<br>
<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><b><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black">From:</span></b><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black">
<a href="mailto:lon-capa-users-bounces@mail.lon-capa.org">lon-capa-users-bounces@mail.lon-capa.org</a> [lon-capa-users-bounces@mail.lon-capa.org] on behalf of Carl Lira [lira@egr.msu.edu]<br>
<b>Sent:</b> Tuesday, February 13, 2018 8:55 AM<br>
<b>To:</b> 'Discussion list for LON-CAPA users'<br>
<b>Subject:</b> Re: [LON-CAPA-users] Matrix Operations</span><span style="color:black"><o:p></o:p></span></p>
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<p class="xmsonormal"><span style="color:#1F497D">Hi Gene,</span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D"> </span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D">I would take advantage of this also. I see some matrix operations available, but I don’t know if the module is installed.</span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D"> </span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D"><a href="https://urldefense.proofpoint.com/v2/url?u=http-3A__search.cpan.org_-7Eulpfr_Math-2DMatrix-2D0.8_Matrix.pm&d=DwMFAg&c=OCIEmEwdEq_aNlsP4fF3gFqSN-E3mlr2t9JcDdfOZag&r=xsNJH7BRV_oHPnc9R-Alu7kBOiq31bgHu5mdx82zpYk&m=cZ0DC2thsyaawbW-icbHvABJUkZREthPLmF_-JF0ZzM&s=p5GS2YNIPFAqLdONRuXDul2HB4YVSlcLDsqyZRz3vDY&e=" target="_blank"><font color="red"><b>MailScanner has detected definite fraud in the website at "urldefense.proofpoint.com". Do <i>not</i> trust this website:</b></font> <b><span style="color:red">MailScanner
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<p class="xmsonormal"><span style="color:#1F497D"> </span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D">Carl Lira</span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D">Associate Professor<br>
Department of Chemical Engineering and Materials Science<br>
2100 Engineering Building<br>
428 S. Shaw Lane<br>
Michigan State University<br>
East Lansing, MI 48824-1226<br>
Phone: (517) 355-9731<br>
FAX: (517)432-1105<br>
<a href="https://urldefense.proofpoint.com/v2/url?u=http-3A__www.egr.msu.edu_-7Elira&d=DwMFAg&c=OCIEmEwdEq_aNlsP4fF3gFqSN-E3mlr2t9JcDdfOZag&r=xsNJH7BRV_oHPnc9R-Alu7kBOiq31bgHu5mdx82zpYk&m=cZ0DC2thsyaawbW-icbHvABJUkZREthPLmF_-JF0ZzM&s=KgidnsKWCwkMXbk-KRSFP-SdawqedYPbXqeoqnxNC70&e=" target="_blank"><font color="red"><b>MailScanner has detected definite fraud in the website at "urldefense.proofpoint.com". Do <i>not</i> trust this website:</b></font> <b><span style="color:red">MailScanner
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<p class="xmsonormal"><span style="color:#1F497D"> </span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><a name="x__MailEndCompose"><span style="color:#1F497D"> </span></a><span style="color:black"><o:p></o:p></span></p>
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<p class="xmsonormal"><b><span style="color:black">From:</span></b><span style="color:black">
<a href="mailto:lon-capa-users-bounces@mail.lon-capa.org">lon-capa-users-bounces@mail.lon-capa.org</a> [<a href="mailto:lon-capa-users-bounces@mail.lon-capa.org">mailto:lon-capa-users-bounces@mail.lon-capa.org</a>]
<b>On Behalf Of </b>Harding, Gene L<br>
<b>Sent:</b> Saturday, February 10, 2018 9:56 PM<br>
<b>To:</b> Discussion list for LON-CAPA users <<a href="mailto:lon-capa-users@mail.lon-capa.org">lon-capa-users@mail.lon-capa.org</a>><br>
<b>Subject:</b> [LON-CAPA-users] Matrix Operations<o:p></o:p></span></p>
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<p class="xmsonormal"><span style="color:black"> <o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D">Hi,</span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D"> </span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D">Does LON-CAPA have any provision for doing matrix operations (e.g., multiplication, inverse calculation or equivalent of the MATLAB “\” operator)?</span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D"> </span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D">Best regards,</span><span style="color:black"><o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:#1F497D"> </span><span style="color:black"><o:p></o:p></span></p>
<div>
<p class="xmsonormal"><span style="color:black">Gene L. Harding, PE<o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:black">Associate Professor of ECET<o:p></o:p></span></p>
<p class="xmsonormal"><span style="color:black">574-520-4190<o:p></o:p></span></p>
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