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	<id>https://drorbn.net/index.php?action=history&amp;feed=atom&amp;title=14-240%2FHomework_Assignment_6</id>
	<title>14-240/Homework Assignment 6 - Revision history</title>
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	<updated>2026-05-07T12:54:57Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://drorbn.net/index.php?title=14-240/Homework_Assignment_6&amp;diff=14490&amp;oldid=prev</id>
		<title>Boyang.wu at 19:07, 8 December 2014</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=14-240/Homework_Assignment_6&amp;diff=14490&amp;oldid=prev"/>
		<updated>2014-12-08T19:07:09Z</updated>

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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:07, 8 December 2014&lt;/td&gt;
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		<author><name>Boyang.wu</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=14-240/Homework_Assignment_6&amp;diff=13974&amp;oldid=prev</id>
		<title>Drorbn at 15:46, 3 November 2014</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=14-240/Homework_Assignment_6&amp;diff=13974&amp;oldid=prev"/>
		<updated>2014-11-03T15:46:47Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 11:46, 3 November 2014&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;Task 2.&#039;&#039;&#039; &#039;&#039;&#039;Solve&#039;&#039;&#039; problems 20, &amp;lt;u&amp;gt;21&amp;lt;/u&amp;gt;, 24, 25, &amp;lt;u&amp;gt;26&amp;lt;/u&amp;gt;, and &amp;lt;u&amp;gt;27&amp;lt;/u&amp;gt; on pages 76-77 and problems 1, 5a, &amp;lt;u&amp;gt;5b&amp;lt;/u&amp;gt;, 5c-g, 9, 15 and &amp;lt;u&amp;gt;16&amp;lt;/u&amp;gt; on pages 84-86, but submit only your solutions of the underlined problems.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;Task 2.&#039;&#039;&#039; &#039;&#039;&#039;Solve&#039;&#039;&#039; problems 20, &amp;lt;u&amp;gt;21&amp;lt;/u&amp;gt;, 24, 25, &amp;lt;u&amp;gt;26&amp;lt;/u&amp;gt;, and &amp;lt;u&amp;gt;27&amp;lt;/u&amp;gt; on pages 76-77 and problems 1, 5a, &amp;lt;u&amp;gt;5b&amp;lt;/u&amp;gt;, 5c-g, 9, 15 and &amp;lt;u&amp;gt;16&amp;lt;/u&amp;gt; on pages 84-86, but submit only your solutions of the underlined problems.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
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  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;Hint for Problem 16 on Page 86.&#039;&#039;&#039; Start with the same bases as in the proof of rank-nullity, add just a bit, and what is the resulting matrix?&lt;/div&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;Just for fun.&#039;&#039;&#039; Do a web search for the words &quot;OpenGL&quot; and &quot;matrix&quot; (or &quot;matrices&quot;) and find out why graphics accelerators in PCs and game consoles do &amp;lt;math&amp;gt;4\times 4&amp;lt;/math&amp;gt; (!) matrix multiplications &#039;&#039;in hardware&#039;&#039;.  (The full explanation is quite involved; perhaps you should just aim to get a taste of it).&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;Just for fun.&#039;&#039;&#039; Do a web search for the words &quot;OpenGL&quot; and &quot;matrix&quot; (or &quot;matrices&quot;) and find out why graphics accelerators in PCs and game consoles do &amp;lt;math&amp;gt;4\times 4&amp;lt;/math&amp;gt; (!) matrix multiplications &#039;&#039;in hardware&#039;&#039;.  (The full explanation is quite involved; perhaps you should just aim to get a taste of it).&lt;/div&gt;&lt;/td&gt;
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		<author><name>Drorbn</name></author>
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	<entry>
		<id>https://drorbn.net/index.php?title=14-240/Homework_Assignment_6&amp;diff=13889&amp;oldid=prev</id>
		<title>Drorbn: Created page with &quot;{{14-240/Navigation}} This assignment is due &lt;span style=&quot;color: blue;&quot;&gt;at the tutorials on Tuesday November 4&lt;/span&gt; &lt;span style=&quot;color: red;&quot;&gt;or&lt;/span&gt; &lt;span style=&quot;color: b...&quot;</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=14-240/Homework_Assignment_6&amp;diff=13889&amp;oldid=prev"/>
		<updated>2014-10-27T11:15:49Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{14-240/Navigation}} This assignment is due &amp;lt;span style=&amp;quot;color: blue;&amp;quot;&amp;gt;at the tutorials on Tuesday November 4&amp;lt;/span&amp;gt; &amp;lt;span style=&amp;quot;color: red;&amp;quot;&amp;gt;or&amp;lt;/span&amp;gt; &amp;lt;span style=&amp;quot;color: b...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{14-240/Navigation}}&lt;br /&gt;
This assignment is due &amp;lt;span style=&amp;quot;color: blue;&amp;quot;&amp;gt;at the tutorials on Tuesday November 4&amp;lt;/span&amp;gt; &amp;lt;span style=&amp;quot;color: red;&amp;quot;&amp;gt;or&amp;lt;/span&amp;gt; &amp;lt;span style=&amp;quot;color: blue;&amp;quot;&amp;gt;at the appropriate mailboxes at the Math Aid Centre, SS 1071, by Thursday November 6 at 5PM&amp;lt;/span&amp;gt;. Here and everywhere, &amp;#039;&amp;#039;&amp;#039;neatness counts!!&amp;#039;&amp;#039;&amp;#039; You may be brilliant and you may mean just the right things, but if the teaching assistants will be having hard time deciphering your work they will give up and assume it is wrong.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Task 1.&amp;#039;&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;Read&amp;#039;&amp;#039;&amp;#039; sections 2.1 through 2.3 in our textbook. Remember that reading math isn&amp;#039;t like reading a novel! If you read a novel and miss a few details most likely you&amp;#039;ll still understand the novel. But if you miss a few details in a math text, often you&amp;#039;ll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you&amp;#039;ve read. Also, &amp;#039;&amp;#039;&amp;#039;preread&amp;#039;&amp;#039;&amp;#039; sections 2.4 and 2.5, just to get a feel for the future.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Task 2.&amp;#039;&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;Solve&amp;#039;&amp;#039;&amp;#039; problems 20, &amp;lt;u&amp;gt;21&amp;lt;/u&amp;gt;, 24, 25, &amp;lt;u&amp;gt;26&amp;lt;/u&amp;gt;, and &amp;lt;u&amp;gt;27&amp;lt;/u&amp;gt; on pages 76-77 and problems 1, 5a, &amp;lt;u&amp;gt;5b&amp;lt;/u&amp;gt;, 5c-g, 9, 15 and &amp;lt;u&amp;gt;16&amp;lt;/u&amp;gt; on pages 84-86, but submit only your solutions of the underlined problems.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Just for fun.&amp;#039;&amp;#039;&amp;#039; Do a web search for the words &amp;quot;OpenGL&amp;quot; and &amp;quot;matrix&amp;quot; (or &amp;quot;matrices&amp;quot;) and find out why graphics accelerators in PCs and game consoles do &amp;lt;math&amp;gt;4\times 4&amp;lt;/math&amp;gt; (!) matrix multiplications &amp;#039;&amp;#039;in hardware&amp;#039;&amp;#039;.  (The full explanation is quite involved; perhaps you should just aim to get a taste of it).&lt;br /&gt;
&lt;br /&gt;
[[Image:06-240-Mario.jpg|thumb|center|176px|A famed creature that owes its mobility to 4x4 matrices.]]&lt;br /&gt;
&lt;br /&gt;
{{14-240:Dror/Students Divider}}&lt;/div&gt;</summary>
		<author><name>Drorbn</name></author>
	</entry>
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