<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@a43bb7c37a88414fb131572b25aedc7f" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<h2 class="hd hd-2 unit-title">1.6 Session Overview</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+18.06SC+2T2019+type@html+block@4fac67ad121a4c48baccc4eb97311312">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@4fac67ad121a4c48baccc4eb97311312" data-runtime-class="LmsRuntime" data-block-type="html" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<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="99" width="99" src="/assets/courseware/v1/2b73ac311eaaaf52ebddfd9940bebf4a/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.6_Overview.jpg" alt="Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang" /></div>
<p>To account for row exchanges in Gaussian elimination, we include a permutation matrix<em> P</em> in the factorization <em>PA = LU.</em> Then we learn about vector spaces and subspaces; these are central to linear algebra.</p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@e6d34fc4d39445128555ab615e8a5873" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<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@85b14e3879c34b1ca4f216550027f51a">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@video+block@85b14e3879c34b1ca4f216550027f51a" data-runtime-class="LmsRuntime" data-block-type="video" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Transposes, Permutations, Vector Spaces</h3>
<div
id="video_85b14e3879c34b1ca4f216550027f51a"
class="video closed"
data-metadata='{"speed": null, "saveStateEnabled": false, "streams": "1.00:JibVXBElKL0", "savedVideoPosition": 0.0, "ytTestTimeout": 1500, "generalSpeed": 1.0, "poster": null, "publishCompletionUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@85b14e3879c34b1ca4f216550027f51a/handler/publish_completion", "completionEnabled": false, "autoplay": false, "completionPercentage": 0.95, "captionDataDir": null, "duration": 0.0, "saveStateUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@85b14e3879c34b1ca4f216550027f51a/handler/xmodule_handler/save_user_state", "ytApiUrl": "https://www.youtube.com/iframe_api", "start": 0.0, "transcriptLanguage": "en", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "autoAdvance": false, "transcriptLanguages": {"en": "English"}, "autohideHtml5": false, "transcriptTranslationUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@85b14e3879c34b1ca4f216550027f51a/handler/transcript/translation/__lang__", "transcriptAvailableTranslationsUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@85b14e3879c34b1ca4f216550027f51a/handler/transcript/available_translations", "ytMetadataEndpoint": "", "recordedYoutubeIsAvailable": true, "sources": ["https://archive.org/download/MIT18.06S05_MP4/05.mp4"], "showCaptions": "true", "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="85b14e3879c34b1ca4f216550027f51a"></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_85b14e3879c34b1ca4f216550027f51a">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_85b14e3879c34b1ca4f216550027f51a">
<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_MP4/05.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@85b14e3879c34b1ca4f216550027f51a/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@85b14e3879c34b1ca4f216550027f51a/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@83ceea27f62f402a85928eeadf74254a">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@83ceea27f62f402a85928eeadf74254a" data-runtime-class="LmsRuntime" data-block-type="html" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><span style="text-decoration: underline;"><a href="/assets/courseware/v1/44aa6fdd2816949688c075443c795ccc/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.6_LecTrans.pdf" target="[object Object]">Lecture transcript video (PDF)</a><br /></span></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@ac83db42b43f41f89937d05bafa7d32c" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<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@60df420bc58e48e2956b3e769eeef8b0">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@60df420bc58e48e2956b3e769eeef8b0" data-runtime-class="LmsRuntime" data-block-type="html" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<h3>Lecture Summary</h3>
<ul>
<li><a href="/assets/courseware/v1/fafd91f64f9084eade542f0efc2a76b3/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.6_LecSum.pdf" target="[object Object]"><span style="text-decoration: underline;">Transposes, Permutations, Spaces (PDF)</span> </a></li>
</ul>
<h3>Suggested Reading</h3>
<ul>
<li>Read Section 2.7 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-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@8b69cc84e8e04fefb88f56e7d7821a0b" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<h2 class="hd hd-2 unit-title">Recitation Video in English</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+18.06SC+2T2019+type@video+block@e3158177d1a94e0e875e76152664b0eb">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@video+block@e3158177d1a94e0e875e76152664b0eb" data-runtime-class="LmsRuntime" data-block-type="video" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Subspaces of Three Dimensional Space</h3>
<div
id="video_e3158177d1a94e0e875e76152664b0eb"
class="video closed"
data-metadata='{"speed": null, "saveStateEnabled": false, "streams": "1.00:QQpvGlF_1Qo", "savedVideoPosition": 0.0, "ytTestTimeout": 1500, "generalSpeed": 1.0, "poster": null, "publishCompletionUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@e3158177d1a94e0e875e76152664b0eb/handler/publish_completion", "completionEnabled": false, "autoplay": false, "completionPercentage": 0.95, "captionDataDir": null, "duration": 0.0, "saveStateUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@e3158177d1a94e0e875e76152664b0eb/handler/xmodule_handler/save_user_state", "ytApiUrl": "https://www.youtube.com/iframe_api", "start": 0.0, "transcriptLanguage": "en", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "autoAdvance": false, "transcriptLanguages": {"en": "English"}, "autohideHtml5": false, "transcriptTranslationUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@e3158177d1a94e0e875e76152664b0eb/handler/transcript/translation/__lang__", "transcriptAvailableTranslationsUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@e3158177d1a94e0e875e76152664b0eb/handler/transcript/available_translations", "ytMetadataEndpoint": "", "recordedYoutubeIsAvailable": true, "sources": ["https://archive.org/download/MIT18.06SCF11/MIT18_06SC_110607_L2_300k.mp4"], "showCaptions": "true", "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="e3158177d1a94e0e875e76152664b0eb"></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_e3158177d1a94e0e875e76152664b0eb">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_e3158177d1a94e0e875e76152664b0eb">
<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_110607_L2_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@e3158177d1a94e0e875e76152664b0eb/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@e3158177d1a94e0e875e76152664b0eb/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@4a7f814b1a0d4650b1996cb691cca48f">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@4a7f814b1a0d4650b1996cb691cca48f" data-runtime-class="LmsRuntime" data-block-type="html" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><span style="text-decoration: underline;"><a href="/assets/courseware/v1/98d4db7dc8cf0d0a4a6dfeb773dff17c/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.6_RecitationTrans.pdf" target="[object Object]">Recitation video transcript (PDF)</a><br /></span></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@c93b2e067982458683d0cc3c91cf567b" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<h2 class="hd hd-2 unit-title">Recitation Video in Chinese</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+18.06SC+2T2019+type@video+block@53935828bce54dc8b756cd1bef5dcdde">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@video+block@53935828bce54dc8b756cd1bef5dcdde" data-runtime-class="LmsRuntime" data-block-type="video" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2"> 观看视频: 习题讲解</h3>
<div
id="video_53935828bce54dc8b756cd1bef5dcdde"
class="video closed"
data-metadata='{"speed": null, "saveStateEnabled": false, "streams": "1.00:VyPIQ_8QqEk", "savedVideoPosition": 0.0, "ytTestTimeout": 1500, "generalSpeed": 1.0, "poster": null, "publishCompletionUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@53935828bce54dc8b756cd1bef5dcdde/handler/publish_completion", "completionEnabled": false, "autoplay": false, "completionPercentage": 0.95, "captionDataDir": null, "duration": 0.0, "saveStateUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@53935828bce54dc8b756cd1bef5dcdde/handler/xmodule_handler/save_user_state", "ytApiUrl": "https://www.youtube.com/iframe_api", "start": 0.0, "transcriptLanguage": "en", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "autoAdvance": false, "transcriptLanguages": {"en": "English"}, "autohideHtml5": false, "transcriptTranslationUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@53935828bce54dc8b756cd1bef5dcdde/handler/transcript/translation/__lang__", "transcriptAvailableTranslationsUrl": "/courses/course-v1:OCW+18.06SC+2T2019/xblock/block-v1:OCW+18.06SC+2T2019+type@video+block@53935828bce54dc8b756cd1bef5dcdde/handler/transcript/available_translations", "ytMetadataEndpoint": "", "recordedYoutubeIsAvailable": true, "sources": ["https://ia800304.us.archive.org/6/items/MIT18.06SCF11-zh/MIT18_06SC_110607_L3_zh-hans-cmn_300k.mp4"], "showCaptions": "true", "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="53935828bce54dc8b756cd1bef5dcdde"></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_53935828bce54dc8b756cd1bef5dcdde">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_53935828bce54dc8b756cd1bef5dcdde">
<div class="wrapper-download-video">
<h4 class="hd hd-5">Video</h4>
<a class="btn-link video-sources video-download-button" href="https://ia800304.us.archive.org/6/items/MIT18.06SCF11-zh/MIT18_06SC_110607_L3_zh-hans-cmn_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@53935828bce54dc8b756cd1bef5dcdde/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@53935828bce54dc8b756cd1bef5dcdde/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@2f5c96780a5d41199ef0e9aba0da2842">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@2f5c96780a5d41199ef0e9aba0da2842" data-runtime-class="LmsRuntime" data-block-type="html" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><a href="/assets/courseware/v1/b8bcabe09fe63c1d6604b21754974745/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18_06_Unit_I_1.6_ChineseTrans.pdf" target="[object Object]">Recitation Video Transcript in Chinese (PDF)</a></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@vertical+block@7166daa5a07648dba90d83087d4c1df8" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<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@3938bc4189b04fcdadaf07051e297ed4">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:OCW+18.06SC+2T2019+type@html+block@3938bc4189b04fcdadaf07051e297ed4" data-runtime-class="LmsRuntime" data-block-type="html" data-request-token="ee9959b6044f11efb67602329aca76dd" data-course-id="course-v1:OCW+18.06SC+2T2019">
<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/b629d4e8893f9fb4a21c314483ed3f02/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.6_Exercises.pdf" target="[object Object]">Exercises on transposes, permutations, spaces (PDF)</a><br /></span></p>
<p><a href="/assets/courseware/v1/c5b4625d4b9ba6296afb52866b5dd6ea/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_1.6_Solutions.pdf" target="[object Object]"><span style="text-decoration: underline;">Solutions on transposes, permutations, spaces (PDF)</span></a></p>
</div>
</div>
</div>
</div>