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    <title>MaplePrimes - answers and comments on Question, How do I generate a matrix given a formula involving the row &amp; column indices?</title>
    <link>http://www.mapleprimes.com/questions/40671-How-Do-I-Generate-A-Matrix-Given-A-Formula</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Thu, 11 Jun 2026 01:26:37 GMT</lastBuildDate>
    <pubDate>Thu, 11 Jun 2026 01:26:37 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest answers and comments added to the Question, How do I generate a matrix given a formula involving the row &amp; column indices?</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - answers and comments on Question, How do I generate a matrix given a formula involving the row &amp; column indices?</title>
      <link>http://www.mapleprimes.com/questions/40671-How-Do-I-Generate-A-Matrix-Given-A-Formula</link>
    </image>
    <item>
      <title>Matrix constructor</title>
      <link>http://www.mapleprimes.com/questions/40671-How-Do-I-Generate-A-Matrix-Given-A-Formula?ref=Feed:MaplePrimes:How do I generate a matrix given a formula involving the row &amp; column indices?:Comments#answer75220</link>
      <itunes:summary>You can use the Matrix constructor as follows:

&lt;pre&gt;
M := Matrix(8,9,(i,j) -&gt; diff(x^i+(x+1)^j,x));
&lt;/pre&gt;

The determinants, though, all seem to be zero:

&lt;pre&gt;
with(LinearAlgebra):
seq(Determinant(DeleteColumn(M,i)),i=1..9);
&lt;/pre&gt;</itunes:summary>
      <description>You can use the Matrix constructor as follows:

&lt;pre&gt;
M := Matrix(8,9,(i,j) -&gt; diff(x^i+(x+1)^j,x));
&lt;/pre&gt;

The determinants, though, all seem to be zero:

&lt;pre&gt;
with(LinearAlgebra):
seq(Determinant(DeleteColumn(M,i)),i=1..9);
&lt;/pre&gt;</description>
      <guid>75220</guid>
      <pubDate>Sun, 21 Oct 2007 22:15:29 Z</pubDate>
      <itunes:author>John Fredsted</itunes:author>
      <author>John Fredsted</author>
    </item>
    <item>
      <title>Link to my preprint</title>
      <link>http://www.mapleprimes.com/questions/40671-How-Do-I-Generate-A-Matrix-Given-A-Formula?ref=Feed:MaplePrimes:How do I generate a matrix given a formula involving the row &amp; column indices?:Comments#answer75199</link>
      <itunes:summary>To Robert Israel and John Fredsted and other interested parties:

http://www.mapleprimes.com/files/5348_20070421%20ECCAD.pdf

Of course, I need to edit out even MORE junk from it &lt;sigh&gt;
just when I thought I HAD something new (that Corollary 2.3
is nothing new nor applicable just to resolvents).

Plus, I need to keep my paper as short as possible
because I will submit it to the International Journal of
Mathematics &amp; Mathematical Sciences which charges authors
by the page to publish.

That's ok, though. I've become pretty emotionally inured
to editing - from editing math papers to editing videos
- having done a lifetime of it.
I can be pretty "cruel/cool" and "objective" about my own work
(and the work of others). (At least I like to think I am.)

I've got a whole bunch more truly original ideas 
(math and applied math) stacked up for me to work on
and perhaps someday publish.</itunes:summary>
      <description>To Robert Israel and John Fredsted and other interested parties:

http://www.mapleprimes.com/files/5348_20070421%20ECCAD.pdf

Of course, I need to edit out even MORE junk from it &lt;sigh&gt;
just when I thought I HAD something new (that Corollary 2.3
is nothing new nor applicable just to resolvents).

Plus, I need to keep my paper as short as possible
because I will submit it to the International Journal of
Mathematics &amp; Mathematical Sciences which charges authors
by the page to publish.

That's ok, though. I've become pretty emotionally inured
to editing - from editing math papers to editing videos
- having done a lifetime of it.
I can be pretty "cruel/cool" and "objective" about my own work
(and the work of others). (At least I like to think I am.)

I've got a whole bunch more truly original ideas 
(math and applied math) stacked up for me to work on
and perhaps someday publish.</description>
      <guid>75199</guid>
      <pubDate>Tue, 23 Oct 2007 01:30:00 Z</pubDate>
      <itunes:author>resolvent</itunes:author>
      <author>resolvent</author>
    </item>
    <item>
      <title>Working link</title>
      <link>http://www.mapleprimes.com/questions/40671-How-Do-I-Generate-A-Matrix-Given-A-Formula?ref=Feed:MaplePrimes:How do I generate a matrix given a formula involving the row &amp; column indices?:Comments#comment84842</link>
      <itunes:summary>I have taking the liberty to provide here a working link to your &lt;a href="http://www.mapleprimes.com/viewfile/1900"&gt;preprint&lt;/a&gt;.

</itunes:summary>
      <description>I have taking the liberty to provide here a working link to your &lt;a href="http://www.mapleprimes.com/viewfile/1900"&gt;preprint&lt;/a&gt;.

</description>
      <guid>84842</guid>
      <pubDate>Tue, 23 Oct 2007 12:32:51 Z</pubDate>
      <itunes:author>John Fredsted</itunes:author>
      <author>John Fredsted</author>
    </item>
    <item>
      <title>Thank you!</title>
      <link>http://www.mapleprimes.com/questions/40671-How-Do-I-Generate-A-Matrix-Given-A-Formula?ref=Feed:MaplePrimes:How do I generate a matrix given a formula involving the row &amp; column indices?:Comments#comment92065</link>
      <itunes:summary>Thank you, John Fredsted!</itunes:summary>
      <description>Thank you, John Fredsted!</description>
      <guid>92065</guid>
      <pubDate>Tue, 23 Oct 2007 20:20:50 Z</pubDate>
      <itunes:author>resolvent</itunes:author>
      <author>resolvent</author>
    </item>
    <item>
      <title>Have you read my emails?</title>
      <link>http://www.mapleprimes.com/questions/40671-How-Do-I-Generate-A-Matrix-Given-A-Formula?ref=Feed:MaplePrimes:How do I generate a matrix given a formula involving the row &amp; column indices?:Comments#comment92067</link>
      <itunes:summary>You are quite welcome.

I know this is a bit unconventional (that is using the forum in this way), but I would like to know if you have read my three private messages to you; I suppose not because they are all still marked "new" in my "Sent messages".</itunes:summary>
      <description>You are quite welcome.

I know this is a bit unconventional (that is using the forum in this way), but I would like to know if you have read my three private messages to you; I suppose not because they are all still marked "new" in my "Sent messages".</description>
      <guid>92067</guid>
      <pubDate>Tue, 23 Oct 2007 21:36:23 Z</pubDate>
      <itunes:author>John Fredsted</itunes:author>
      <author>John Fredsted</author>
    </item>
    <item>
      <title>Oops! Sorry, I've not checked in recently!</title>
      <link>http://www.mapleprimes.com/questions/40671-How-Do-I-Generate-A-Matrix-Given-A-Formula?ref=Feed:MaplePrimes:How do I generate a matrix given a formula involving the row &amp; column indices?:Comments#comment92162</link>
      <itunes:summary>Oops! Sorry, I've not checked in recently!
I will look for your messages now.

I am not aware of all the different
directories on Mapleprimes. I tend just to
go to the same ones, namely, the recent posts
folder, over and over again.
John</itunes:summary>
      <description>Oops! Sorry, I've not checked in recently!
I will look for your messages now.

I am not aware of all the different
directories on Mapleprimes. I tend just to
go to the same ones, namely, the recent posts
folder, over and over again.
John</description>
      <guid>92162</guid>
      <pubDate>Wed, 31 Oct 2007 00:40:38 Z</pubDate>
      <itunes:author>resolvent</itunes:author>
      <author>resolvent</author>
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