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	<title>Матрицы и операции с ними - История изменений</title>
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	<updated>2026-05-06T15:00:32Z</updated>
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		<title>St001214 в 16:34, 6 июля 2022</title>
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		<updated>2022-07-06T16:34:07Z</updated>

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&lt;a href=&quot;https://apmath.info/w/index.php?title=%D0%9C%D0%B0%D1%82%D1%80%D0%B8%D1%86%D1%8B_%D0%B8_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8%D0%B8_%D1%81_%D0%BD%D0%B8%D0%BC%D0%B8&amp;amp;diff=172&amp;amp;oldid=137&quot;&gt;Внесённые изменения&lt;/a&gt;</summary>
		<author><name>St001214</name></author>
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&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Предыдущая&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Версия 18:26, 23 ноября 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Строка 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Строка 1:&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;{{Определение  &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;{{Определение  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|definition=Матрицей называется таблица элементов, состоящая из &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;'''&lt;/del&gt;m&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;''' &lt;/del&gt;строк и &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;'''&lt;/del&gt;n&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;''' &lt;/del&gt;столбцов.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&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;|definition=Матрицей называется таблица элементов, состоящая из &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/ins&gt;m&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt; &lt;/ins&gt;строк и &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/ins&gt;n&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt; &lt;/ins&gt;столбцов.&lt;/div&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;}}&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;}}&lt;/div&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;br/&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;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;br/&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;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Ссылки на полезные источники&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== &lt;/ins&gt;Ссылки на полезные источники &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&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;* [https://www.youtube.com/watch?v=b7NbUd5rGgQ&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=2 KhanAcademyRussian&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;Введение в матрицы]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[https://www.youtube.com/watch?v=b7NbUd5rGgQ&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=2 KhanAcademyRussian &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;Введение в матрицы]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&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;* [https://www.youtube.com/watch?v=XeLppMkWwKI&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=3 KhanAcademyRussian&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;Сложение и вычитание матриц]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[https://www.youtube.com/watch?v=XeLppMkWwKI&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=3 KhanAcademyRussian &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;Сложение и вычитание матриц]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&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;* [https://youtu.be/bg_gxWOufsA KhanAcademyRussian&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;Транспонирование матриц]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[https://youtu.be/bg_gxWOufsA KhanAcademyRussian &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;Транспонирование матриц]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&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;* [https://www.youtube.com/watch?v=uhtlPbYlMPs&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=5 KhanAcademyRussian&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;Умножение матриц. Часть 1]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[https://www.youtube.com/watch?v=uhtlPbYlMPs&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=5 KhanAcademyRussian &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;Умножение матриц. Часть 1]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&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;* [https://www.youtube.com/watch?v=ax-nTuBRj4g&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=6  KhanAcademyRussian&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;Умножение матриц. Часть 2]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[https://www.youtube.com/watch?v=ax-nTuBRj4g&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=6  KhanAcademyRussian &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;Умножение матриц. Часть 2]&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&lt;/td&gt;&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>СВ</name></author>
	</entry>
	<entry>
		<id>https://apmath.info/w/index.php?title=%D0%9C%D0%B0%D1%82%D1%80%D0%B8%D1%86%D1%8B_%D0%B8_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8%D0%B8_%D1%81_%D0%BD%D0%B8%D0%BC%D0%B8&amp;diff=133&amp;oldid=prev</id>
		<title>T.o.r.t.i.k1: Добавлены ссылки на полезные видео. Updated by t.o.r.t.i.k1</title>
		<link rel="alternate" type="text/html" href="https://apmath.info/w/index.php?title=%D0%9C%D0%B0%D1%82%D1%80%D0%B8%D1%86%D1%8B_%D0%B8_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8%D0%B8_%D1%81_%D0%BD%D0%B8%D0%BC%D0%B8&amp;diff=133&amp;oldid=prev"/>
		<updated>2021-11-23T18:10:03Z</updated>

		<summary type="html">&lt;p&gt;Добавлены ссылки на полезные видео. Updated by t.o.r.t.i.k1&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Новая страница&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Определение &lt;br /&gt;
|definition=Матрицей называется таблица элементов, состоящая из '''m''' строк и '''n''' столбцов.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Ссылки на полезные источники:&lt;br /&gt;
&lt;br /&gt;
*[https://www.youtube.com/watch?v=b7NbUd5rGgQ&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=2 KhanAcademyRussian - Введение в матрицы]&lt;br /&gt;
*[https://www.youtube.com/watch?v=XeLppMkWwKI&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=3 KhanAcademyRussian - Сложение и вычитание матриц]&lt;br /&gt;
*[https://youtu.be/bg_gxWOufsA KhanAcademyRussian - Транспонирование матриц]&lt;br /&gt;
*[https://www.youtube.com/watch?v=uhtlPbYlMPs&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=5 KhanAcademyRussian - Умножение матриц. Часть 1]&lt;br /&gt;
*[https://www.youtube.com/watch?v=ax-nTuBRj4g&amp;amp;list=PLxGo9dxQkqWC0zB7_agKHKbQYkqLrsL3s&amp;amp;index=6  KhanAcademyRussian - Умножение матриц. Часть 2]&lt;/div&gt;</summary>
		<author><name>T.o.r.t.i.k1</name></author>
	</entry>
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