Eigenvalues and Eigenvectors, Imaginary and Real

Comments · 724

• EU

  @EugeneKhutoryansky · 7 years ago · pinned

  To see subtitles in other languages: &nbsp;Click on the gear symbol under the video, then click on &quot;subtitles.&quot; Then select the language (You may need to scroll up and down to see all the languages available).<br>--To change subtitle appearance: &nbsp;Scroll to the top of the language selection window and click &quot;options.&quot; &nbsp;In the options window you can, for example, choose a different font color and background color, and set the &quot;background opacity&quot; to 100% to help make the subtitles more readable. &nbsp;<br>--To turn the subtitles &quot;on&quot; or &quot;off&quot; altogether: &nbsp;Click the &quot;CC&quot; button under the video. &nbsp;<br>--If you believe that the translation in the subtitles can be improved, please send me an email.

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• K2

  @K2theweim · 9 years ago

  Physics and math become so elegant with the classic music

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• UP

  @upandatom · 9 years ago

  Finally. After a 3 year physics degree and never knowing what the heck my professors were talking about when they said &quot;eigenvalue&quot; and &quot;eigenvector&quot;, now I understand. And to think it was so simple this entire time. Thanks Eugene, I adore your videos :)

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• RA

  @RatGuard73 · 9 years ago

  If they had told me eigenvectors could be this interesting I would have payed more attention in linear algebra...

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• ZF

  @zf164 · 8 years ago

  I would love to see a company fully dedicated to publishing content like this. Imagine the impact you could have on the education market. In the same way that Pixar first brought inanimate objects to life, you do the same for mathematics and science. Absolutely amazing.

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• WI

  @WilliamDye-willdye · 9 years ago

  I wish there was a way to tell YouTube&apos;s ranking algorithms that I truly like a video without having to write a trivial comment. I&apos;d read comments more often if the signal-to-noise ratio was better, yet &nbsp;YouTube&apos;s policy encourages us to write a comment even when we don&apos;t have anything substantial to contribute. Oh, well. At least the effort is worth it for these videos. I spent many, many hours in math classes dreaming of how mathematics could be better taught by using computer graphics. It&apos;s extremely enjoyable to see those old dreams fulfilled by the excellent videos in this channels. I&apos;m deeply grateful to the production team (and a bit jealous). Thanks much!

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• VM

  @vma011 · 9 years ago

  Those of us who are science/engineering students know that we are often told to learn how to handle abstract ideas and concepts. That is indeed a necessary skill, but sometimes a good visualization helps a lot! This video was such a case! Great work!

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• KR

  @Krokranski · 9 years ago

  very nice! <br>Can you also &nbsp;make a video on Lagrange Multipliers? Sometime in the future.

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• EU

  @EugeneKhutoryansky · 9 years ago

  If you like this video, you can help more people find it in their YouTube search engine by clicking the like button, and writing a comment. &nbsp;Thanks.

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• CO

  @coder0xff · 9 years ago

  Would you do a video on tensors?

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• JA

  @JayLikesLasers · 9 years ago

  I&apos;d love to see more videos on linear algebra

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• AM

  @ammar510127 · 9 years ago

  The way of presenting the concept is marvelous. Salute to you. To all of the videos, hats off.

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