Linear Algebra - Lecture 24 - Elementary Matrices and Inverses

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  • เผยแพร่เมื่อ 31 ธ.ค. 2024

ความคิดเห็น • 47

  • @Brahma2012
    @Brahma2012 6 ปีที่แล้ว +13

    It is a elegant explanation of elementary matrices. Thank you James

  • @SaiyanBranch
    @SaiyanBranch 5 ปีที่แล้ว +47

    In the beginning I think you meant adding -4 R1 to R3

    • @lattice737
      @lattice737 5 ปีที่แล้ว

      4R1 + R3 leaves one value, 1, for the first pivot column. -4R1 + R3 would leave -8 and 1 in that pivot column

    • @baguettebaguetteneverforge1758
      @baguettebaguetteneverforge1758 4 ปีที่แล้ว +1

      @@lattice737 Can you explain how It would leave -8 in R3's first column?

    • @lattice737
      @lattice737 4 ปีที่แล้ว

      @@baguettebaguetteneverforge1758
      Just to be clear, I was saying this is the wrong answer:
      -4R1 + R3 =
      -4 [ 1 0 0 ] + [ -4 0 1 ] =
      [ -4 0 0 ] + [ -4 0 1 ] =
      [ -8 0 1 ]
      The correct answer is:
      4R1 + R3 =
      4 [ 1 0 0 ] + [ -4 0 1 ] =
      [ 4 0 0 ] + [ -4 0 1 ] =
      [ 0 0 1 ]

    • @mariusmusicandscience
      @mariusmusicandscience 4 ปีที่แล้ว +12

      @@lattice737 You're totally wrong, stop spreading false information. The video itself confirms he made a mistake at 2:55. There is a scaling of -4, not 4 as you mention. I hope it is clear now for anyone reading this that was confused.

    • @lattice737
      @lattice737 4 ปีที่แล้ว +2

      Marius van Gent I see what you mean at the time stamp. I’m obviously not intending to spread misinformation if I’m taking the time to show my work, jackass

  • @steveying1305
    @steveying1305 ปีที่แล้ว +1

    This is the best explanation for the means of deriving the inverse matrix, thanks so much James!

  • @VersatileAnthem
    @VersatileAnthem 4 ปีที่แล้ว +2

    sir ,you are just awesome .the most clear explanation i got....thank you so much.may Allah give you blessings

  • @cgmakesbeats
    @cgmakesbeats 2 หลายเดือนก่อน +1

    So much better than my professor!

  • @crazyguy7665
    @crazyguy7665 5 ปีที่แล้ว +15

    best explaination ever on elemnatary matrices.....

  • @7906jun
    @7906jun 4 ปีที่แล้ว +5

    13:35 I wish you showed all the steps instead of talking over and only writing the final answers.
    Otherwise, very helpful video thank you for your time .

  • @kerduslegend2644
    @kerduslegend2644 ปีที่แล้ว +1

    My guy!! You explain it better than my college professor.. All my profesor did was "here's your equation, don't ask how you get it, just use it" Like... Bruh💀

  • @adinandyala
    @adinandyala 4 ปีที่แล้ว +1

    Hey! I didn't understand the last part (15:00). Can anyone please break it down for me in simpler terms...

  • @Rand3mAnclrew
    @Rand3mAnclrew 5 ปีที่แล้ว +3

    Thank you for making these videos

  • @dhanamillionaire8936
    @dhanamillionaire8936 3 ปีที่แล้ว +1

    Thank u for explanation...this really helped me to understand ♥️👍

  • @GenuinePeacefulTimes
    @GenuinePeacefulTimes ปีที่แล้ว

    Great explanation. Thank You.

  • @piyush501
    @piyush501 4 ปีที่แล้ว +3

    What a quincidence I m watching this video on 7 June 2020 ... Exact 2 years after this vdeo uploaded 🤣🤣😎🙂🙂

  • @aliosmanmusuloglu7382
    @aliosmanmusuloglu7382 3 ปีที่แล้ว +1

    Thank you so much, James :) It is the best explanation i've ever seen.

  • @wmd5645
    @wmd5645 5 ปีที่แล้ว

    Thank you, considering an arbitrary matrix is the best way to describe elementary matrices! Wish I found this months ago.

  • @HAHA-rf4dc
    @HAHA-rf4dc 5 ปีที่แล้ว +1

    Thanks!!!!! its helps a lot!

  • @ryanjackson0x
    @ryanjackson0x 3 ปีที่แล้ว

    Is there a quick way of finding A=EU by hand?

  • @childrenfunfriend6101
    @childrenfunfriend6101 ปีที่แล้ว

    Thank you sir for ur video

  • @samuelromero1763
    @samuelromero1763 3 ปีที่แล้ว

    Thank you my teacher did not explain this at all.

  • @MrPowderhound9
    @MrPowderhound9 6 ปีที่แล้ว +1

    Is it possible to find the inverse of an mxn matrix or do inverse matrices only exist on square matrices?

    • @HamblinMath
      @HamblinMath  6 ปีที่แล้ว +1

      Only square matrices can have inverses.

    • @ghsjgsjg53chjdkhjydhdkhfmh74
      @ghsjgsjg53chjdkhjydhdkhfmh74 4 ปีที่แล้ว

      @@HamblinMath thank you!

    • @ryanjackson0x
      @ryanjackson0x 3 ปีที่แล้ว

      It is possible to have a right inverse for an mxn matrix. (AB=I, where A is mxn and m

  • @michalhellman7214
    @michalhellman7214 4 ปีที่แล้ว

    Incredibly appreciated. Very well done video.

  • @kellypeng6371
    @kellypeng6371 5 ปีที่แล้ว

    Thank you so much 🙂🙂🙂

  • @GeorgeFloyd2
    @GeorgeFloyd2 3 ปีที่แล้ว

    THANK YOU!

  • @hannatr3135
    @hannatr3135 4 ปีที่แล้ว

    Thanks...... So helpfut

  • @muhtasimrabib9795
    @muhtasimrabib9795 2 ปีที่แล้ว +1

    Don't you mean adding -4 . row 1 to row 2

    • @HamblinMath
      @HamblinMath  2 ปีที่แล้ว

      Can you give a timestamp to where you think you found an error?

    • @HamblinMath
      @HamblinMath  2 ปีที่แล้ว

      @@frettenbrot Ah you're right, that should be adding -4 times R1 to R2

  • @haniamahmood-e8r
    @haniamahmood-e8r 2 หลายเดือนก่อน

    4:14

  • @harry-fl6tf
    @harry-fl6tf 5 ปีที่แล้ว +1

    you saved my ass Thanks!

  • @ibile2922
    @ibile2922 2 ปีที่แล้ว

    Why do I still pay in expensive university???