<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@89625951dcc242c4a2dccd3d4ade3d8e" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<h2 class="hd hd-2 unit-title">1.3 Session Overview</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+18.06SC+2T2019+type@html+block@390276139b3a4e61abbcb51bd9fbd543">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@390276139b3a4e61abbcb51bd9fbd543" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<div style="float: left; margin: 6px 20px auto 0px;"><img height="100" width="100" src="/assets/courseware/v1/4c8684ec962006f83d91d598ecd5c9eb/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.3_Session_Overview.jpg" alt="Figure excepted from 'Introduction to Linear Algebra" by G.S. Strang " /></div>
<p></p>
<p>This session introduces the method of elimination, an essential tool for working with matrices. The method follows a simple algorithm. To help make sense of material presented later, we describe this algorithm in terms of matrix multiplication.</p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@38dc2d6f0a284562ae3c81814600972b" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<h2 class="hd hd-2 unit-title">Lecture Video</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+18.06SC+2T2019+type@video+block@ce2cdacf67f7447b90103c8f62074bef">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@video+block@ce2cdacf67f7447b90103c8f62074bef" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="video" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Elimination with Matrices</h3>
<div
id="video_ce2cdacf67f7447b90103c8f62074bef"
class="video closed"
data-metadata='{"speed": null, "publishCompletionUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@ce2cdacf67f7447b90103c8f62074bef/handler/publish_completion", "streams": "1.00:QVKj3LADCnA", "prioritizeHls": false, "completionEnabled": false, "autoAdvance": false, "captionDataDir": null, "transcriptLanguages": {"en": "English"}, "recordedYoutubeIsAvailable": true, "showCaptions": "true", "completionPercentage": 0.95, "saveStateUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@ce2cdacf67f7447b90103c8f62074bef/handler/xmodule_handler/save_user_state", "ytMetadataEndpoint": "", "duration": 0.0, "autohideHtml5": false, "transcriptLanguage": "en", "ytApiUrl": "https://www.youtube.com/iframe_api", "lmsRootURL": "https://openlearninglibrary.mit.edu", "sources": ["https://archive.org/download/MIT18.06S05_MP4/02.mp4"], "transcriptAvailableTranslationsUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@ce2cdacf67f7447b90103c8f62074bef/handler/transcript/available_translations", "savedVideoPosition": 0.0, "transcriptTranslationUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@ce2cdacf67f7447b90103c8f62074bef/handler/transcript/translation/__lang__", "saveStateEnabled": false, "ytTestTimeout": 1500, "poster": null, "autoplay": false, "generalSpeed": 1.0, "start": 0.0, "end": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="ce2cdacf67f7447b90103c8f62074bef"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_ce2cdacf67f7447b90103c8f62074bef">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_ce2cdacf67f7447b90103c8f62074bef">
<div class="wrapper-download-video">
<h4 class="hd hd-5">Video</h4>
<a class="btn-link video-sources video-download-button" href="https://archive.org/download/MIT18.06S05_MP4/02.mp4">
Download video file
</a>
</div>
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@ce2cdacf67f7447b90103c8f62074bef/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@ce2cdacf67f7447b90103c8f62074bef/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
<div class="vert vert-1" data-id="block-v1:OCW+18.06SC+2T2019+type@html+block@8c2d70f84dae4630a2e0137007bc52db">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@8c2d70f84dae4630a2e0137007bc52db" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><span style="text-decoration: underline;"><a href="/assets/courseware/v1/a736b5a3b726ba4a09229d89431962db/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.3_Elimination_with_Matrices_Trans.pdf" target="[object Object]">Lecture video transcript (PDF)</a></span></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@d05d16bf295b4ff598ee8a3be78fa50f" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<h2 class="hd hd-2 unit-title">Lecture Summary and Reading</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+18.06SC+2T2019+type@html+block@2a0ec81b6df740408d817d07eb846ed2">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@2a0ec81b6df740408d817d07eb846ed2" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<h3>Lecture Summary</h3>
<ul>
<li><span style="text-decoration: underline;"><a href="/assets/courseware/v1/f5ebd5160a6aded1020ab6b3d19c885c/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.3_Lecture_Summary_EWM.pdf" target="[object Object]">Elimination with Matrices (PDF)</a></span></li>
</ul>
<h3>Suggested Reading </h3>
<ul>
<li>Read Section 2.2 through 2.3 in the 4<sup>th</sup> or 5<sup>th</sup> edition. </li>
</ul>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@324109eb0a084882bdac6de303c62f9d" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<h2 class="hd hd-2 unit-title">Recitation Video</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+18.06SC+2T2019+type@video+block@cfa7ac3a25b14e88bae83104006edfeb">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@video+block@cfa7ac3a25b14e88bae83104006edfeb" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="video" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Elimination with Matrices</h3>
<div
id="video_cfa7ac3a25b14e88bae83104006edfeb"
class="video closed"
data-metadata='{"speed": null, "publishCompletionUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@cfa7ac3a25b14e88bae83104006edfeb/handler/publish_completion", "streams": "1.00:xCIXkm3-ocQ", "prioritizeHls": false, "completionEnabled": false, "autoAdvance": false, "captionDataDir": null, "transcriptLanguages": {"en": "English"}, "recordedYoutubeIsAvailable": true, "showCaptions": "true", "completionPercentage": 0.95, "saveStateUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@cfa7ac3a25b14e88bae83104006edfeb/handler/xmodule_handler/save_user_state", "ytMetadataEndpoint": "", "duration": 0.0, "autohideHtml5": false, "transcriptLanguage": "en", "ytApiUrl": "https://www.youtube.com/iframe_api", "lmsRootURL": "https://openlearninglibrary.mit.edu", "sources": ["https://archive.org/download/MIT18.06SCF11/MIT18_06SC_110711_M1_300k.mp4"], "transcriptAvailableTranslationsUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@cfa7ac3a25b14e88bae83104006edfeb/handler/transcript/available_translations", "savedVideoPosition": 0.0, "transcriptTranslationUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@cfa7ac3a25b14e88bae83104006edfeb/handler/transcript/translation/__lang__", "saveStateEnabled": false, "ytTestTimeout": 1500, "poster": null, "autoplay": false, "generalSpeed": 1.0, "start": 0.0, "end": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="cfa7ac3a25b14e88bae83104006edfeb"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_cfa7ac3a25b14e88bae83104006edfeb">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_cfa7ac3a25b14e88bae83104006edfeb">
<div class="wrapper-download-video">
<h4 class="hd hd-5">Video</h4>
<a class="btn-link video-sources video-download-button" href="https://archive.org/download/MIT18.06SCF11/MIT18_06SC_110711_M1_300k.mp4">
Download video file
</a>
</div>
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@cfa7ac3a25b14e88bae83104006edfeb/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@cfa7ac3a25b14e88bae83104006edfeb/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
<div class="vert vert-1" data-id="block-v1:OCW+18.06SC+2T2019+type@html+block@cb549779c8594461b415a44e51575881">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@cb549779c8594461b415a44e51575881" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><span style="text-decoration: underline;"><a href="/assets/courseware/v1/32cfa5c6580164d2cfebdf203af98c9b/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.3_Recitation_Trans.pdf" target="[object Object]">Recitation video transcript (PDF)</a></span></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@69bc95509ab5400ab59f20b3ac0bddc4" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<h2 class="hd hd-2 unit-title">Problems and Solutions</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+18.06SC+2T2019+type@html+block@51bea4f76301474b97285e16626ea17b">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@51bea4f76301474b97285e16626ea17b" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:OCW+18.06SC+2T2019" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1de0d71afec111ee9bb216fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p>Work the problems on your own and check your answers when you're done.</p>
<p><span style="text-decoration: underline;"><a href="/assets/courseware/v1/f2f59ed6cea95c9e897a77b2ec0dc17d/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.3_Exercises_EWM.pdf" target="[object Object]">Exercises on elimination with matrices (PDF)</a></span></p>
<p><span style="text-decoration: underline;"><a href="/assets/courseware/v1/457cdfef9e8a5892b02eea87282a97c9/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.3_Solutions_EWM.pdf" target="[object Object]">Solutions on elimination with matrices (PDF)</a></span></p>
<p><span style="text-decoration: underline;"></span></p>
</div>
</div>
</div>
</div>