tag:blogger.com,1999:blog-43096871795306796752024-03-19T21:29:18.163-07:00Álgebra LinealEjercicios y problemas resueltos de álgebra lineal por Juan BeltránJuan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.comBlogger9125tag:blogger.com,1999:blog-4309687179530679675.post-66162680530630097382011-11-29T04:36:00.002-08:002012-03-11T09:13:40.088-07:001.3.4: m ecuaciones con n incógnitas. Eliminación Gauss-Jordan<div class="separator" style="clear: both; text-align: left;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicrrL_kq5h8gSgfPUA8kHGFnU6RGa1ePyy46OXk76QCn1I2oH01bdq6Mp52xp2S4BDPN_Yxy5i0GVCsgH6j7kqY_AbDQbCF9FCbXHoRWP5x9EY2srZz404grbfPOeTd0weuPC7LZua8i8t/s1600/1.3.4_.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicrrL_kq5h8gSgfPUA8kHGFnU6RGa1ePyy46OXk76QCn1I2oH01bdq6Mp52xp2S4BDPN_Yxy5i0GVCsgH6j7kqY_AbDQbCF9FCbXHoRWP5x9EY2srZz404grbfPOeTd0weuPC7LZua8i8t/s528/1.3.4_.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: left;"><a href="http://calculo21.blogspot.com/2011/11/sistema-de-ecuaciones-3x3-resuelto-por.html" target="_blank"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvB3TgHD59kBuUVQpnJYqTAAmzRAxyhwXMXAbJlt9TKOfxYNxRXsYnRuz59xQBIANhyphenhyphenEbEM5LkIVwJau3ltjWBrXL95j4nnnW-nrSHVA2O0IVt1Bo_Q6a7FU9CzgXsepTmtg9_8T1-RJ5U/s1600/ICono+Video.png" /><span style="font-size: large;">Video1.3.4</span></a></div>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com1tag:blogger.com,1999:blog-4309687179530679675.post-57184013452967222692011-11-27T04:55:00.002-08:002012-03-11T09:13:56.038-07:001.3.2: m ecuaciones con n incógnitas. Eliminación Gauss-Jordan<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirsLJmEnTgfwOAwVeFTmSYKkc30C7VC8rHT16jFxCZURc2UD-Gd9sxhM4dZg4E21hgfpLf_3SQN1N3nwuc5WF2Z6lLpNKaTFQmQu3n05G2lBmSXtt0nImH-jUsbznc2-eD_bS00odBhmW5/s1600/1.3.2_1.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirsLJmEnTgfwOAwVeFTmSYKkc30C7VC8rHT16jFxCZURc2UD-Gd9sxhM4dZg4E21hgfpLf_3SQN1N3nwuc5WF2Z6lLpNKaTFQmQu3n05G2lBmSXtt0nImH-jUsbznc2-eD_bS00odBhmW5/s528/1.3.2_1.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPUhMJSd77p-YcI8BdApQ3wCpRS6lPGllBBPTXzET_wknKnEA6hyV9QA7Pfl57WOIPsy7m_Pb9G0caO3LXmjgzpjRnR7oafT8Q7l3PxlEbenP_My8Yq00D_cuKhm1Qzkk8sdAiZYKdU54Y/s1600/1.3.2_2.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPUhMJSd77p-YcI8BdApQ3wCpRS6lPGllBBPTXzET_wknKnEA6hyV9QA7Pfl57WOIPsy7m_Pb9G0caO3LXmjgzpjRnR7oafT8Q7l3PxlEbenP_My8Yq00D_cuKhm1Qzkk8sdAiZYKdU54Y/s528/1.3.2_2.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: left;"><a href="http://calculo21.blogspot.com/2011/11/sistema-de-3x3-resuelto-por-el-metodo.html" target="_blank"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihhisSxiORrXpQG1i8U9wdl6aorpDlKPtatlwWkvJkrXZX1Lh_FCXQvp1o9dO2Mo0EWN57N7yn5indXrFTAIDVHY0CMP90P_EG8vZCfQluqsFdC-yP7Mt_E9bxt4ukHK-CnM76M1IAJiaY/s1600/ICono+Video.png" /><span style="font-size: large;">Video 1.3.2</span></a></div><div class="separator" style="clear: both; text-align: center;"><span id="goog_898098050"></span><span id="goog_898098051"></span> </div>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com1tag:blogger.com,1999:blog-4309687179530679675.post-82190554042683386152011-11-10T08:52:00.003-08:002012-03-11T09:14:09.681-07:001.2.17: Sistema de ecuaciones simultáneas 3x3<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgh2kmi_nJ5RkDiVQFMtABYVD3_NsMreYRoejVbpsVmfK-CusN0PiUrgtis7dtpibWKDcg0Mx0us6vjaWjiWFu9ZjjApwbu56s5JN4DmRjv7iZuJJ8xC7yO017loBx9GfUzhb6D1ulRj9p2/s1600/1.2.17_a.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgh2kmi_nJ5RkDiVQFMtABYVD3_NsMreYRoejVbpsVmfK-CusN0PiUrgtis7dtpibWKDcg0Mx0us6vjaWjiWFu9ZjjApwbu56s5JN4DmRjv7iZuJJ8xC7yO017loBx9GfUzhb6D1ulRj9p2/s528/1.2.17_a.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNCrjziI13pFSj8OZecVsfOUqEkKFwf-7zO0NWd_LyOLmdRzKRISYybs3GBa22aCIpGUUhleBgxUthTVXwM4qEsI-x86A5Xo9tZiarMqf_JPUNAEvqreEpGZhdAUK374u179Xg9zLaPryv/s1600/1.2.17_b.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNCrjziI13pFSj8OZecVsfOUqEkKFwf-7zO0NWd_LyOLmdRzKRISYybs3GBa22aCIpGUUhleBgxUthTVXwM4qEsI-x86A5Xo9tZiarMqf_JPUNAEvqreEpGZhdAUK374u179Xg9zLaPryv/s528/1.2.17_b.png" width="528" /></a></div>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com1tag:blogger.com,1999:blog-4309687179530679675.post-91970583824866052052011-11-08T07:31:00.001-08:002012-03-11T09:15:32.285-07:001.2.1-16: Sistemas de ecuaciones 2x2. (12, 14 y 16)<div class="separator" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgH9cs7Cfkl_kaSMaCVzFPwlOzEWi24Lz3P3OiApVFp7IJvIeQeiUIcz707Er4zZ-2jUkVcxqIiC9622JS7JoCvHOtx8WJe7o3EXq9RGIn_a2gsaBuwL5UZ6UFF5bNp-xbBKVJk92KfhLhK/s528/1.2.12.png" width="528" /> </div><br />
<div class="separator" style="clear: both; text-align: left;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgH9cs7Cfkl_kaSMaCVzFPwlOzEWi24Lz3P3OiApVFp7IJvIeQeiUIcz707Er4zZ-2jUkVcxqIiC9622JS7JoCvHOtx8WJe7o3EXq9RGIn_a2gsaBuwL5UZ6UFF5bNp-xbBKVJk92KfhLhK/s1600/1.2.12.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;">En los problemas 1 a 16 encuentre las soluciones (si las hay) de los sistemas dados. En cada caso calcule el valor de a11a22-a12a21.</a></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhilhEw8m_8CqW6EjZsTvpj_I1xK7anC2SD21xPWsVkkFP9NyszOTp0u9miIcpjo2eyAqt26nsqMpXXanc-yfqGWsAEky4ThyphenhyphenYELCehWTCtmqs0NbQ-vjf3mzEBYsZp02YAUwGF8fO91K84/s1600/1.2.14.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhilhEw8m_8CqW6EjZsTvpj_I1xK7anC2SD21xPWsVkkFP9NyszOTp0u9miIcpjo2eyAqt26nsqMpXXanc-yfqGWsAEky4ThyphenhyphenYELCehWTCtmqs0NbQ-vjf3mzEBYsZp02YAUwGF8fO91K84/s528/1.2.14.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi71jFzwZFlbo9ptTqLTJ7il02Pp66o5SQzCn4cLNShqtbazRGJ0hXV0LdATfZACnpjJdFx82RNrKrvsyZAs63vY5YNouHC9-h2WaRFj1hTPTGj0vsaTVs6TP-kQEfsIL6t7Tuuzd1zAIRd/s1600/1.2.16.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi71jFzwZFlbo9ptTqLTJ7il02Pp66o5SQzCn4cLNShqtbazRGJ0hXV0LdATfZACnpjJdFx82RNrKrvsyZAs63vY5YNouHC9-h2WaRFj1hTPTGj0vsaTVs6TP-kQEfsIL6t7Tuuzd1zAIRd/s528/1.2.16.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: center;"><br />
</div>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com1tag:blogger.com,1999:blog-4309687179530679675.post-63667099937557647292011-11-07T09:12:00.001-08:002012-03-11T09:17:19.658-07:001.2.1-16: Sistemas de ecuaciones 2x2. (6, 8 y 10).<div style="color: #6aa84f;">En los problemas 1 a 16 encuentre las soluciones (si las hay) de los sistemas dados. En cada caso calcule el valor de a11a22-a12a21.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_PI1AtSUh4QO3OjPvAdHG62t5PV7FJXUDbtoH6e2jiO0SeqnQO_tVaBp_HKUJJVaK24VhGW0eFnT78jdXRnpQRXoy8aje_o1Tl8qxga2qPSiyTrbSYeevZFc1ir4f6AmSwK43WHWx-HrV/s1600/1.2.6.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_PI1AtSUh4QO3OjPvAdHG62t5PV7FJXUDbtoH6e2jiO0SeqnQO_tVaBp_HKUJJVaK24VhGW0eFnT78jdXRnpQRXoy8aje_o1Tl8qxga2qPSiyTrbSYeevZFc1ir4f6AmSwK43WHWx-HrV/s528/1.2.6.png" width="528" /></a></div><div style="color: #6aa84f;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6-LrCCofvM8AhR4A5hCSeTe3RoFxjTEmQUUCiStUNPxMxMxieUtVnu3dpnhclUaQI46QdZuGDNBPDp7EIkxm_0ypkdxQL9TsL9a6KWUeOYq-TSZFyHkoGearvjD_HfCMoE72xy6F8OuiJ/s1600/1.2.8.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6-LrCCofvM8AhR4A5hCSeTe3RoFxjTEmQUUCiStUNPxMxMxieUtVnu3dpnhclUaQI46QdZuGDNBPDp7EIkxm_0ypkdxQL9TsL9a6KWUeOYq-TSZFyHkoGearvjD_HfCMoE72xy6F8OuiJ/s528/1.2.8.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTp840xuwduMpSa-UNi0bZxR-Pc4IBN0xVSZhC8d_UTy897ev3MkgfvcFdJx_KX1HdIS1OW8OIh7GPIWq4DImPpLsdEthJZd8_WFYqyUvg9tn6BkW6RtT9CMVoZcQnRQavNOGMtkZq_yLv/s1600/1.2.10.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTp840xuwduMpSa-UNi0bZxR-Pc4IBN0xVSZhC8d_UTy897ev3MkgfvcFdJx_KX1HdIS1OW8OIh7GPIWq4DImPpLsdEthJZd8_WFYqyUvg9tn6BkW6RtT9CMVoZcQnRQavNOGMtkZq_yLv/s640/1.2.10.png" width="528" /></a></div><br />
</div>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com1tag:blogger.com,1999:blog-4309687179530679675.post-21253312592129021312011-11-02T13:28:00.001-07:002012-03-11T09:18:56.402-07:001.2.1-16: Sistemas de ecuaciones 2x2. (1, 2, 4 y 6).<div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; color: #6aa84f; text-align: left;">En los problemas 1 a 16 encuentre las soluciones (si las hay) de los sistemas dados. En cada caso calcule el valor de a11a22-a12a21.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8n-ywN2ERSz2G0hlhQCpUhQdQHos7CqQCi10O2-K5vKxfpnwBT21lq7nNENkV9Htuvc4tmXVFbQigJy9WgO9uK4XRvbdKW7Spnu4j2YrPja1NtcSNw1-wyURrPhER66THdqwQT1_eixrM/s1600/1.2.1.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8n-ywN2ERSz2G0hlhQCpUhQdQHos7CqQCi10O2-K5vKxfpnwBT21lq7nNENkV9Htuvc4tmXVFbQigJy9WgO9uK4XRvbdKW7Spnu4j2YrPja1NtcSNw1-wyURrPhER66THdqwQT1_eixrM/s528/1.2.1.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi51Ao21ugc0wNSX7VFeQzhX6H5ixoDoFyE11-zqSmUeB_u2b8a7rR-FggKhI2UTboS5efAKTYAVSRwJS_6D8WhhmmjBa1ZxvO44UqXEXigNHZ9gVQvdkdZETffbdLfGkEkVWW5hLUawsjk/s1600/1.2.2.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi51Ao21ugc0wNSX7VFeQzhX6H5ixoDoFyE11-zqSmUeB_u2b8a7rR-FggKhI2UTboS5efAKTYAVSRwJS_6D8WhhmmjBa1ZxvO44UqXEXigNHZ9gVQvdkdZETffbdLfGkEkVWW5hLUawsjk/s528/1.2.2.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpOW5cJ-ZdkJAniCJVWT-uKgb4lgnNBjiKL9JQ3uY60DWv2afwCgytOC6Ch3bRRRVaEoA9w36gWc0r3uUghreIhLkZkjfZWQ6mJ6BzCNDFt55z2ZAkZoQv3NGDsEM3l8Jvl9NpyODR0CV9/s1600/1.2.4.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpOW5cJ-ZdkJAniCJVWT-uKgb4lgnNBjiKL9JQ3uY60DWv2afwCgytOC6Ch3bRRRVaEoA9w36gWc0r3uUghreIhLkZkjfZWQ6mJ6BzCNDFt55z2ZAkZoQv3NGDsEM3l8Jvl9NpyODR0CV9/s528/1.2.4.png" width="528" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-7oFm2pbnlaP7-ZNbR3qxyeruyW6bbxS3TD_iFlVhfU-R7_O3EKBJJFw1Nj_MSXkr57ak05W15MgTpi4r0fLE2TlfykXTp4cEyxgxRXIWavjsxKAzVbbpdFv8adnJng5ETY41b-aeK6bT/s1600/ICono+Video.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div><div class="separator" style="clear: both; text-align: left;"><a href="http://calculo21.blogspot.com/2010/12/sistema-de-ecuaciones-lineales-stanley.html" target="_blank"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhteBnMjbIMZ6L8RL87kZ9l3orZ2CMTUDHpvy1JsW7JyBI7eElHUFyng9vEm5tZp0sQcwVY16r8Wys3_HqqGEqNih0AmyIHTJKKme9H-8OFsswk0_ZJslGmqqHM250bEJtNjIJ3zZPn2oxj/s1600/ICono+Video.png" /><span style="font-size: large;">Video 1.2.1-4-6</span></a></div>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com0tag:blogger.com,1999:blog-4309687179530679675.post-301631744155099102009-06-03T13:07:00.000-07:002009-06-03T13:48:28.964-07:00Problemas 2.1: Vectores<div><strong><span style="color:#3366ff;">E</span></strong>n los problemas <span style="color:#cc0000;">1</span> a<span style="color:#cc0000;"> 10</span> efectúe las operaciones indicadas con:</div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiF6OqNwEXy22jV4-Bodo9TRuHq97cQhDDw0o8F51gqOLfKiXcKu56JSs8Tbk2QDVzfPsikqzIvIHI8S8Atdbianm7MxKHfI-5PYZXXvWcBlF_n-LoQiOy7Y6aNDxkrVsswbq5D1_lQSEVf/s1600-h/2.1_int.gif"><img id="BLOGGER_PHOTO_ID_5343197927329684514" style="WIDTH: 293px; CURSOR: hand; HEIGHT: 93px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiF6OqNwEXy22jV4-Bodo9TRuHq97cQhDDw0o8F51gqOLfKiXcKu56JSs8Tbk2QDVzfPsikqzIvIHI8S8Atdbianm7MxKHfI-5PYZXXvWcBlF_n-LoQiOy7Y6aNDxkrVsswbq5D1_lQSEVf/s400/2.1_int.gif" border="0" /></a><br /><br /><div><strong><span style="color:#33cc00;">P</span></strong>roblemas <strong><span style="color:#cc0000;">1</span></strong>, <strong><span style="color:#cc0000;">3</span></strong>, <strong><span style="color:#cc0000;">6</span></strong> y <span style="color:#cc0000;"><strong>10</strong></span>:</div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEFeRgvI15gKZCP3tJE4aQb0XHPcEuteKthcaJ1k4MWpaZZOZeIIplN-zYeBNQRytWUs8mu07fMEGV7DQXLEzXbCmWOJWpiPv8Qs-hquEhE_l63tmL3Dh1NnqTWkDp2ZsygKyG8YXXBcR3/s1600-h/2.1_3+a+10.gif"><img id="BLOGGER_PHOTO_ID_5343205989372164258" style="WIDTH: 400px; CURSOR: hand; HEIGHT: 257px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEFeRgvI15gKZCP3tJE4aQb0XHPcEuteKthcaJ1k4MWpaZZOZeIIplN-zYeBNQRytWUs8mu07fMEGV7DQXLEzXbCmWOJWpiPv8Qs-hquEhE_l63tmL3Dh1NnqTWkDp2ZsygKyG8YXXBcR3/s400/2.1_3+a+10.gif" border="0" /></a><br /><div></div>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com0tag:blogger.com,1999:blog-4309687179530679675.post-58812752659731562822007-05-30T14:34:00.000-07:002007-05-30T14:41:43.039-07:00Problemas 1.3<div><span style="color:#3366ff;"><strong>E</strong></span>n los problemas del <strong><span style="color:#cc0000;">1</span></strong> al <span style="color:#cc0000;">20</span> use eliminación gaussiana y eliminación de Gauss-Jordan para encontrar todas las soluciones, si existen, de los sistemas dados.</div><div> </div><div><span style="color:#33cc00;"><strong>P</strong></span>roblema <strong><span style="color:#cc0000;">1</span></strong>:</div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqHl-v65xzX5B5h4l2qNf0f5a1XzWpMWR9NIRZNSy0b0DsgntFwL1_LKwSyJmOuYwx3Au2CrIL6Zou1MPWz7Dt0ffgW4W3NbZTN73BwC7LeWqom4PkSGzjRLBMKXTnk57x-iiD0JuynmUl/s1600-h/1.3(1).gif"><img id="BLOGGER_PHOTO_ID_5070471660673092802" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqHl-v65xzX5B5h4l2qNf0f5a1XzWpMWR9NIRZNSy0b0DsgntFwL1_LKwSyJmOuYwx3Au2CrIL6Zou1MPWz7Dt0ffgW4W3NbZTN73BwC7LeWqom4PkSGzjRLBMKXTnk57x-iiD0JuynmUl/s400/1.3(1).gif" border="0" /></a> </div><div> </div><div><strong><span style="color:#33cc00;">P</span></strong>roblema <strong><span style="color:#cc0000;">8</span></strong>:</div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1nztqH4MgbgHiPWwgY4yjjQA_VPWXfuWIO2bPRgYnH3N8ffWpG34TzZYaI4rlkovzMHKqTuMXxcvuMVx-ht-W61q5ehnb2aQQTKDk8JYuuK-_igmNI9A1Ek8f_NN4nRa6oHj_0qL9vc28/s1600-h/1.3(8).gif"><img id="BLOGGER_PHOTO_ID_5070471845356686546" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1nztqH4MgbgHiPWwgY4yjjQA_VPWXfuWIO2bPRgYnH3N8ffWpG34TzZYaI4rlkovzMHKqTuMXxcvuMVx-ht-W61q5ehnb2aQQTKDk8JYuuK-_igmNI9A1Ek8f_NN4nRa6oHj_0qL9vc28/s400/1.3(8).gif" border="0" /></a></div>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com1tag:blogger.com,1999:blog-4309687179530679675.post-63722278876864257872007-05-29T14:52:00.000-07:002007-05-29T16:29:14.273-07:00Problemas 1.2<strong><span style="color:#3366ff;">E</span></strong>n los problemas del <span style="color:#cc0000;"><strong>1</strong> </span>al <strong><span style="color:#cc0000;">12</span></strong>, encuentre todas las soluciones (si existen) a los sistemas dados. En cada caso calcule el determinante:<br /><span style="color:#cc0000;"><span style="color:#333333;"><strong><span style="color:#33cc00;">P</span></strong>roblemas</span><strong> 1</strong></span> y <strong><span style="color:#cc0000;">4</span></strong>:<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfhe_mJE0qVYOwIWJ1XRUbRaV3sLdJbeWfNwsstu_grunZGmwmCHCMzpnQ7Azv6wUU0Qknh2YQPUQ1XLQddzYFqzPqEAsQIGt7mevZ895OlBRi94VEsr5GT7BbQapsCBEZFYTB46nngeob/s1600-h/1.2(1,+4,+8).gif"><img id="BLOGGER_PHOTO_ID_5070106652877442098" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfhe_mJE0qVYOwIWJ1XRUbRaV3sLdJbeWfNwsstu_grunZGmwmCHCMzpnQ7Azv6wUU0Qknh2YQPUQ1XLQddzYFqzPqEAsQIGt7mevZ895OlBRi94VEsr5GT7BbQapsCBEZFYTB46nngeob/s400/1.2(1,+4,+8).gif" border="0" /></a><br /><span style="color:#cc0000;"><strong><span style="color:#33cc00;"></span></strong></span><br /><span style="color:#cc0000;"><strong><span style="color:#33cc00;">P</span></strong><span style="color:#333333;">roblemas</span><strong> 8</strong></span> y <strong><span style="color:#cc0000;">12</span></strong>:<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnj7p-atmPp1sdyNUA_rfsUBWR0rKeF8FuShX35jGpu2voOkOFy41QZMMZ1ySJFC8opYAVMM0wrOFSkFVCCu7I5-LKB_-ibpHFJxY9DAnu47z2efWqSUwjZGMZP-c-AHpN0qv6FX-116jJ/s1600-h/1-2+(8+y+12).gif"><img id="BLOGGER_PHOTO_ID_5070109337232002130" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnj7p-atmPp1sdyNUA_rfsUBWR0rKeF8FuShX35jGpu2voOkOFy41QZMMZ1ySJFC8opYAVMM0wrOFSkFVCCu7I5-LKB_-ibpHFJxY9DAnu47z2efWqSUwjZGMZP-c-AHpN0qv6FX-116jJ/s400/1-2+(8+y+12).gif" border="0" /></a><br /><strong><span style="color:#33cc00;"></span></strong><br /><strong><span style="color:#33cc00;">P</span></strong>roblema <strong><span style="color:#cc0000;">15</span></strong>:<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlyNAZsDfitrnpD6FdzQua0uBQLvo6mSLA59uUZeEnrReypRxlkE1au5LC0dJLVaDiT2lAlkKXiEFWWkZGWaKIPm2_gXxhZWady_zzDfnmxbryjXekt2XmdsJSg4JCqkp-9tx0yDWxLCRo/s1600-h/1.2(15).gif"><img id="BLOGGER_PHOTO_ID_5070109874102914146" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlyNAZsDfitrnpD6FdzQua0uBQLvo6mSLA59uUZeEnrReypRxlkE1au5LC0dJLVaDiT2lAlkKXiEFWWkZGWaKIPm2_gXxhZWady_zzDfnmxbryjXekt2XmdsJSg4JCqkp-9tx0yDWxLCRo/s400/1.2(15).gif" border="0" /></a><br /><strong><span style="color:#3366ff;"></span></strong><br /><strong><span style="color:#3366ff;">E</span></strong>n los problemas del <strong><span style="color:#cc0000;">16</span></strong> al <span style="color:#cc0000;"><strong>21</strong></span>, encuentre el punto de intersección (si existe alguno) de las dos rectas:<br /><strong><span style="color:#33cc00;">P</span></strong>roblemas <strong><span style="color:#cc0000;">16</span></strong> y <strong><span style="color:#cc0000;">21</span></strong>:<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjAnQ1Wk7kSMRLW3ab5jyX5ICnnPAOaoA01if935kl2ho2TcozJKQE6YjbMM1tFp7tdV7rN1c1L1G3neBuCeZOaFE1q6eFB312egq0m12btzOWQzAtxhyphenhyphenSm31l6rNA1gEDx28qdNnSf1iZ7/s1600-h/1.3+(16+y+21).gif"><img id="BLOGGER_PHOTO_ID_5070111145413233778" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjAnQ1Wk7kSMRLW3ab5jyX5ICnnPAOaoA01if935kl2ho2TcozJKQE6YjbMM1tFp7tdV7rN1c1L1G3neBuCeZOaFE1q6eFB312egq0m12btzOWQzAtxhyphenhyphenSm31l6rNA1gEDx28qdNnSf1iZ7/s400/1.3+(16+y+21).gif" border="0" /></a><br /><strong><span style="color:#3366ff;"></span></strong><br /><strong><span style="color:#3366ff;">S</span></strong>ea L una recta y sea L1 la recta perpendicular a L que pasa por un punto dado P. La distancia de L a P se define como la distancia entre P y el punto de intersección de L y L1. En los problemas del <strong><span style="color:#cc0000;">22</span></strong> al <strong><span style="color:#cc0000;">27</span> </strong>encuentre la distancia entre L y el punto dado:<br /><strong><span style="color:#33cc00;">P</span></strong>roblemas <strong><span style="color:#cc0000;">22</span></strong> y <strong><span style="color:#cc0000;">27</span></strong>:<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwfs2XbtiROh-3KywkfITz4-MauhYw_9eqGJSvey0kUS3xPcPpbImdSEOZBVAE0vw8qVPNIL28VnEUFKwhw9XhxQtel4GN1FtbLkwEqblN2ieoRILe06A1PLmeclCZjEG2FGMXx_xuFtbi/s1600-h/1.2++(22+y+27).gif"><img id="BLOGGER_PHOTO_ID_5070112820450479234" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwfs2XbtiROh-3KywkfITz4-MauhYw_9eqGJSvey0kUS3xPcPpbImdSEOZBVAE0vw8qVPNIL28VnEUFKwhw9XhxQtel4GN1FtbLkwEqblN2ieoRILe06A1PLmeclCZjEG2FGMXx_xuFtbi/s400/1.2++(22+y+27).gif" border="0" /></a><br /><strong><span style="color:#33cc00;"></span></strong><br /><strong><span style="color:#33cc00;">P</span></strong>roblema <strong><span style="color:#cc0000;">28</span></strong>:<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjegeC-FZXET9HYmPTgODn9rQHzO2LaCwd0E_QloeXPsBtMhuDOrfNcR1j7Y6iz0gKE_uukS4oEj715Put_Sy7RI8Xg6U_98ddX8390ZQcMTIVvaxcC6PZcRnumYKcDDzVVR9HYGAfSaGEs/s1600-h/1.2+(28).gif"><img id="BLOGGER_PHOTO_ID_5070114229199752338" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjegeC-FZXET9HYmPTgODn9rQHzO2LaCwd0E_QloeXPsBtMhuDOrfNcR1j7Y6iz0gKE_uukS4oEj715Put_Sy7RI8Xg6U_98ddX8390ZQcMTIVvaxcC6PZcRnumYKcDDzVVR9HYGAfSaGEs/s400/1.2+(28).gif" border="0" /></a><br /><br /><strong><span style="color:#33cc00;">P</span></strong>roblema <span style="color:#cc0000;"><strong>29</strong></span>:<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmzjdwnAU2DHMEThgprmyVyLaoi-S-AWHN_EzBBamy-OmFWYy87isXkkgY0mgtf6UF7E667uwptSn5DbPo0EUxcBVTVX3lHR-pBta-3aCotPFeZjnHahmREvUtjmToSLnJzwFXHAedQC1g/s1600-h/1.2+(29).gif"><img id="BLOGGER_PHOTO_ID_5070114345163869346" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmzjdwnAU2DHMEThgprmyVyLaoi-S-AWHN_EzBBamy-OmFWYy87isXkkgY0mgtf6UF7E667uwptSn5DbPo0EUxcBVTVX3lHR-pBta-3aCotPFeZjnHahmREvUtjmToSLnJzwFXHAedQC1g/s400/1.2+(29).gif" border="0" /></a><br /><br /><strong><span style="color:#33cc00;">P</span></strong>roblema <strong><span style="color:#cc0000;">30</span></strong>: Un zoológico tiene aves (bípedos) y bestias (cuadrúpedos). Si el zoológico tiene 60 cabezas y 200 patas, ¿cuántas aves y cuántas bestias viven allí?<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwvoPh0Pk-d3-K3RxmK1dq5_JpfnfNw6rnio7h-KH9Qk1Ib8UMNLUIM1L_yygNJj9rUub93G1Rai_b4KYzO1DHbFhTj5zjV-BCfkRcEU7K_G5VqXbhtYHNY9qshh-I2exwrdDheDI6WQEZ/s1600-h/1.2(30).gif"><img id="BLOGGER_PHOTO_ID_5070114426768247986" style="CURSOR: hand" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwvoPh0Pk-d3-K3RxmK1dq5_JpfnfNw6rnio7h-KH9Qk1Ib8UMNLUIM1L_yygNJj9rUub93G1Rai_b4KYzO1DHbFhTj5zjV-BCfkRcEU7K_G5VqXbhtYHNY9qshh-I2exwrdDheDI6WQEZ/s400/1.2(30).gif" border="0" /></a>Juan Carlos Beltran B.http://www.blogger.com/profile/17895784795989032454noreply@blogger.com2