Linear Algebra - Lecture 20 - Existence and Uniqueness Questions

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  • เผยแพร่เมื่อ 28 ส.ค. 2024

ความคิดเห็น • 13

  • @olzhasdossaibek1642
    @olzhasdossaibek1642 4 ปีที่แล้ว +18

    Is there any possibility I can press several likes to this single video? And the rest from the playlist! What a smart man! Much respect

  • @adefisanadedotun797
    @adefisanadedotun797 3 หลายเดือนก่อน

    Very Detailed and Explanatory.
    Much appreciated 💯

  • @maryam-fu3mq
    @maryam-fu3mq 4 ปีที่แล้ว +2

    Thank you so much sir 💛

  • @benz8196
    @benz8196 4 ปีที่แล้ว +2

    At 4:41, why we consider the number 5 as a pivot?

    • @HamblinMath
      @HamblinMath  4 ปีที่แล้ว +2

      The pivots are the leading entries in each row, when the matrix is in echelon form.

  • @sollinw
    @sollinw 3 ปีที่แล้ว +1

    clear and nice

  • @GenuinePeacefulTimes
    @GenuinePeacefulTimes ปีที่แล้ว +1

    Can someone explain how the matrix A having a pivot in each row will make it so that Ax=b will have a solution for every b?

    • @HamblinMath
      @HamblinMath  ปีที่แล้ว +2

      I answer this question in Lecture 9: th-cam.com/video/OyqOfbeEhL0/w-d-xo.html

    • @GenuinePeacefulTimes
      @GenuinePeacefulTimes ปีที่แล้ว +1

      @@HamblinMath Thanks for the guidance. I watched that lecture yesterday but will definitely take another look.

  • @chenlecong9938
    @chenlecong9938 4 ปีที่แล้ว +1

    9.36 oh dear,which “previous theorem”you’re referring to?I have no idea of that,not in the least mate!Would you mind to refer me to a link of that video or something else?

    • @HamblinMath
      @HamblinMath  4 ปีที่แล้ว +2

      This theorem from Lecture 9: th-cam.com/video/OyqOfbeEhL0/w-d-xo.html

  • @aleemprince3771
    @aleemprince3771 4 ปีที่แล้ว +1

    so at 5:03 wouldnt that matrix be no solution since the last row is 0 0 0 5? hence one to one, or do we just go by the rows(onto) and cols(one to one) of pivots for the answer?

    • @HamblinMath
      @HamblinMath  4 ปีที่แล้ว +2

      That's not an augmented matrix. Think carefully about what the pivots in the matrix represent and what they tell you about related matrix equations.