Linear Transformations and Linear Systems

แชร์
ฝัง
  • เผยแพร่เมื่อ 17 ม.ค. 2025

ความคิดเห็น • 25

  • @ChristopherLum
    @ChristopherLum  ปีที่แล้ว +3

    In case it is helpful, all my linear algebra videos in a single playlist are located at th-cam.com/play/PLxdnSsBqCrrHKINkYvyiYRzpG8hd1YnqO.html. All my ODE videos are located at th-cam.com/play/PLxdnSsBqCrrHHvoFPxWq4l9D93jkCNIFN.html. You can support this channel via Patreon at www.patreon.com/christopherwlum or by clicking on the 'Thanks' button underneath the video. Please let me know what you think in the comments. Thanks for watching!

  • @shengyedong1291
    @shengyedong1291 ปีที่แล้ว

    Your videos on control are all amazing! Please please keep up the good work!

  • @KhoaiNguyen160
    @KhoaiNguyen160 2 วันที่ผ่านมา

    AE511: I remember having learned this knowledge before, but it's difficult to retrieve it. Thanks for a great video.

  • @ThomasNiemisto
    @ThomasNiemisto ปีที่แล้ว +1

    AE511: Excellent refresher. Looking forward to this quarter :)

  • @TuanTran-fs8ll
    @TuanTran-fs8ll 6 วันที่ผ่านมา

    AE511: Great refresher on linear transformation/map! The visualizations really help make the concepts clear for checking linearity. - Tuan Tran

    • @ChristopherLum
      @ChristopherLum  6 วันที่ผ่านมา

      Wow, up early on a Saturday and doing coursework, I like the dedication :) !

  • @SaschaRobitzki
    @SaschaRobitzki ปีที่แล้ว

    Very effective lecture!

  • @nathanlipshutz3140
    @nathanlipshutz3140 ปีที่แล้ว

    AE511: This topic is so relevant in the M&S world, and in engineering in general. I wonder how many people don't know the fundamental definition in the engineering community. I appreciate going through this and enjoyed the commentary.
    It is surprising to me that a line is not actually a linear mapping when b is not 0. lol. That is very counterintuitive. However, it makes sense that an affine transformation is linear with an offset.

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว

      Nathan, great points. Yes linear systems constantly come up in engineering.

  • @ahungryflyer
    @ahungryflyer ปีที่แล้ว

    AE511: A clear and much-needed refresh on the linear transformation definition that I don't think I had used since my time in AE510. Looking forward to a good quarter!

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว

      Andrew, great to have you back, I'm also looking forward to another productive quarter. Please keep me posted on how things progress over the next several weeks.

  • @mhdadk
    @mhdadk ปีที่แล้ว

    Hey Chris, these videos are great. Thanks a lot for taking the time to record them. I wonder if it would be possible, if you have the time, to cover controllability, stabilizability, observability, and detectability. I always see these words in research papers, but I found them to be a bit opaque in Linear Systems Theory books. I think a video would really help me, and others, understand their usefulness.

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว

      Hi Mahmoud,
      Thanks for reaching out. If you have questions or would like to request a video, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!
      -Chris

  • @tomyochum
    @tomyochum ปีที่แล้ว

    Chris does TH-cam! Awesome!

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว

      Tom, great to hear from you here! I've got a few other videos that harken back to our UW MS days. If you end up watching them let me know what you think, looking forward to our next chat!

  • @meganmcmahon4456
    @meganmcmahon4456 8 วันที่ผ่านมา

    AE511: It always humors me that the equation of a line is not linear! That would have really blown my mind in highschool. Good to connect it to the reason we can combine solutions of equations for ODEs.

    • @ChristopherLum
      @ChristopherLum  8 วันที่ผ่านมา

      I know, welcome to the club of people who make the distinction between linear and affine :)

  • @ccball954
    @ccball954 วันที่ผ่านมา

    AE511, appreciate the examples

  • @technontechwithsumitohdar932
    @technontechwithsumitohdar932 ปีที่แล้ว

    Dear professor, can you please make video on virtual wind tunnel experiment for UAV(ornithopter)

  • @CharlotteGill-v2w
    @CharlotteGill-v2w วันที่ผ่านมา

    AE511: Good review, interesting that the equation of a line isn't always considered linear!

    • @ChristopherLum
      @ChristopherLum  วันที่ผ่านมา

      I know, when I first saw this I had to do a double take :)

  • @bsgove
    @bsgove 5 วันที่ผ่านมา

    AE511: Good Refresher

  • @KanwarjitSingh88
    @KanwarjitSingh88 หลายเดือนก่อน

    AE501 Great video👍

  • @sethwhittington28
    @sethwhittington28 ปีที่แล้ว

    AE511: Hello everyone and welcome to another quarter! Here we go again haha.

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว

      Haha, you win the prize for first comment of the quarter. Hopefully this is the last quarter in which you have to hear that phrase :)