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<h2 class="hd hd-2 unit-title">1.1 Session Overview</h2>
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<p>A major application of linear algebra is solving systems of linear equations. This lecture presents three ways of thinking about these systems. The "row method" focuses on the individual equations, the "column method" focuses on combining the columns, and the "matrix method" is an even more compact and powerful way of describing systems of linear equations.</p>
<p class="caption">Portion of figure from the textbook, <em>Introduction to Linear Algebra.</em></p>
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<h3 class="hd hd-2">The Geometry of Linear Equations</h3>
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<h3>Lecture Summary</h3>
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<h3>Suggested Reading</h3>
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<li>Read Section 1.1, 1.2, and 2.1 in the 4<sup>th</sup> or 5<sup>th</sup> edition.</li>
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<p><a href="/assets/courseware/v1/869b77d530980f5ab73751ef82b7960a/asset-v1:OCW+18.06SC+2T2019+type@asset+block/GeoLinearEquations_ChineseTrans.pdf" target="[object Object]">Lecture video transcript in Chinese (PDF)</a></p>
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<h2 class="hd hd-2 unit-title">Problems and Solutions</h2>
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<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/f040db351f894a219a50beb0e7d71785/asset-v1:OCW+18.06SC+2T2019+type@asset+block/MIT18_06SCF11_Ses1.1prob.pdf" target="[object Object]">Exercises on the geometry of linear equations (PDF)</a></span></p>
<p><span style="text-decoration: underline;"><a href="/assets/courseware/v1/b094b9330002e4b4f1c53e2f7873fe50/asset-v1:OCW+18.06SC+2T2019+type@asset+block/MIT18_06SCF11_Ses1.1sol.pdf" target="[object Object]">Solutions on the geometry of linear equations (PDF)</a></span></p>
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