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<p>Many calculations become simpler when performed using orthonormal vectors or othogonal matrices. In this session, we learn a procedure for converting any basis to an orthonormal one.</p>
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<p><a href="/assets/courseware/v1/fc822fab1d04b9baac9557560e08b306/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_Unit_II_2.4_Lectrans.pdf" target="[object Object]">Lecture video transcript (PDF)</a></p>
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<h2 class="hd hd-2 unit-title">Lecture Summary and Reading</h2>
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<h3>Lecture Summary</h3>
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<h3>Suggested Reading</h3>
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<li>Read Section 4.4 in the 4<sup>th</sup> or 5<sup>th</sup> edition.</li>
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<h3 class="hd hd-2">Gram-Schmidt Orthogonalization</h3>
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<p><a href="/assets/courseware/v1/09434d52aa3dfbf4806198983644e9d9/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_Unit_II_2.4_Rectrans.pdf" target="[object Object]">Recitation video transcript (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><a href="/assets/courseware/v1/9f29db092652076764a2790658d37411/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_Unit_II_2.4_Exercises.pdf" target="[object Object]">Exercises on orthogonal matrices and Gram-Schmidt (PDF)</a></p>
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