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	<title>Combinação Linear - Histórico de revisões</title>
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	<updated>2026-07-13T22:47:03Z</updated>
	<subtitle>Histórico de edições para esta página nesta wiki</subtitle>
	<generator>MediaWiki 1.35.2</generator>
	<entry>
		<id>http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Combina%C3%A7%C3%A3o_Linear&amp;diff=1503&amp;oldid=prev</id>
		<title>Ist178052 em 13h24min de 29 de julho de 2016</title>
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		<updated>2016-07-29T13:24:58Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;pt&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Revisão anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revisão das 13h24min de 29 de julho de 2016&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-l19&quot; &gt;Linha 19:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 19:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;/td&gt;&lt;td class='diff-marker'&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;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;Determine primeiro os valores dos coeficientes \(a_1\) e \(a_2\) tais que o vector \(v_3\) se escreve como uma combinação linear dos vectores \(v_1\) e \(v_2\), isto é, \(v_3 = a_1 * v_1 + a_2 * v_2\). A soma \(a_1 +a_2\) é igual a :&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;Determine primeiro os valores dos coeficientes \(a_1\) e \(a_2\) tais que o vector \(v_3\) se escreve como uma combinação linear dos vectores \(v_1\) e \(v_2\), isto é, \(v_3 = a_1 * v_1 + a_2 * v_2\). A soma \(a_1 +a_2\) é igual a :&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&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;[[File:CombLinear.gif]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;/td&gt;&lt;td class='diff-marker'&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;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;A)\(1\),&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;A)\(1\),&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ist178052</name></author>
	</entry>
	<entry>
		<id>http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Combina%C3%A7%C3%A3o_Linear&amp;diff=1501&amp;oldid=prev</id>
		<title>Ist178052 em 13h22min de 29 de julho de 2016</title>
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		<updated>2016-07-29T13:22:53Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;pt&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Revisão anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revisão das 13h22min de 29 de julho de 2016&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-l16&quot; &gt;Linha 16:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 16:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;Considere os vectores \(v_1=\)\(\{2,1\}\)\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;\{2,1\}&lt;/del&gt;\)\(\{3,3\}\) e \(v_3=\)\(\{1,-1\}\) da figura seguinte:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;Considere os vectores \(v_1=\)\(\{2,1\}\) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;,&lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;v_2=&lt;/ins&gt;\)\(\{3,3\}\) e \(v_3=\)\(\{1,-1\}\) da figura seguinte:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;/td&gt;&lt;td class='diff-marker'&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;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;Determine primeiro os valores dos coeficientes \(a_1\) e \(a_2\) tais que o vector \(v_3\) se escreve como uma combinação linear dos vectores \(v_1\) e \(v_2\), isto é, \(v_3 = a_1 * v_1 + a_2 * v_2\). A soma \(a_1 +a_2\) é igual a :&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;Determine primeiro os valores dos coeficientes \(a_1\) e \(a_2\) tais que o vector \(v_3\) se escreve como uma combinação linear dos vectores \(v_1\) e \(v_2\), isto é, \(v_3 = a_1 * v_1 + a_2 * v_2\). A soma \(a_1 +a_2\) é igual a :&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ist178052</name></author>
	</entry>
	<entry>
		<id>http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Combina%C3%A7%C3%A3o_Linear&amp;diff=1500&amp;oldid=prev</id>
		<title>Ist178052: Criou a página com &quot;&lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:420px&quot;&gt; '''Metadata''' &lt;div class=&quot;mw-collapsible-content&quot;&gt; *CONTEXTO : Primeiro ciclo universitário *AREA:...&quot;</title>
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		<updated>2016-07-29T13:21:11Z</updated>

		<summary type="html">&lt;p&gt;Criou a página com &amp;quot;&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:420px&amp;quot;&amp;gt; &amp;#039;&amp;#039;&amp;#039;Metadata&amp;#039;&amp;#039;&amp;#039; &amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt; *CONTEXTO : Primeiro ciclo universitário *AREA:...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nova&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:420px&amp;quot;&amp;gt;&lt;br /&gt;
'''Metadata'''&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*CONTEXTO : Primeiro ciclo universitário&lt;br /&gt;
*AREA: Matemática&lt;br /&gt;
*DISCIPLINA: Álgebra Linear&lt;br /&gt;
*ANO: 1&lt;br /&gt;
*LINGUA: pt&lt;br /&gt;
*AUTOR: Equipa Álgebra Linear&lt;br /&gt;
*MATERIA PRINCIPAL: &lt;br /&gt;
*DESCRICAO: &lt;br /&gt;
*DIFICULDADE: &lt;br /&gt;
*TEMPO MEDIO DE RESOLUCAO: &lt;br /&gt;
*TEMPO MAXIMO DE RESOLUCAO: 30 mn&lt;br /&gt;
*PALAVRAS CHAVE: &lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
Considere os vectores \(v_1=\)\(\{2,1\}\)\(\{2,1\}\)\(\{3,3\}\) e \(v_3=\)\(\{1,-1\}\) da figura seguinte:&lt;br /&gt;
&lt;br /&gt;
Determine primeiro os valores dos coeficientes \(a_1\) e \(a_2\) tais que o vector \(v_3\) se escreve como uma combinação linear dos vectores \(v_1\) e \(v_2\), isto é, \(v_3 = a_1 * v_1 + a_2 * v_2\). A soma \(a_1 +a_2\) é igual a :&lt;br /&gt;
&lt;br /&gt;
A)\(1\),&lt;br /&gt;
B)\(8\),&lt;br /&gt;
C)\(-9\),&lt;br /&gt;
D)\(7\)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Para obter o zip que contém as instâncias deste exercício clique aqui(comblinear.nb)&lt;br /&gt;
&lt;br /&gt;
Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt&lt;/div&gt;</summary>
		<author><name>Ist178052</name></author>
	</entry>
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