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<p>Like differential equations, Markov matrices describe changes over time. Once again, the eigenvalues and eigenvectors describe the long term behavior of the system. In this session we also learn about Fourier series, which describe periodic functions as points in an infinite dimensional vector space.</p>
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<p><a href="/assets/courseware/v1/2fc99cbde8161da501e1081e544d5c5c/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_Unit_II_3.1_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 8.3 and 8.5 in the 4<sup>th</sup> edition or Sections 10.3 and 10.5 in the 5<sup>th</sup> edition.</li>
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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/ad70b64c0cb12b8f0c93ce380e1aefe3/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_Unit_II_3.1_Exercises.pdf" target="[object Object]">Exercises on Markov matrices; Fourier series (PDF)</a></p>
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