Reduced Row Echelon Form of the Matrix Explained | Linear Algebra

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  • Опубликовано: 10 дек 2024

Комментарии • 92

  • @WrathofMath
    @WrathofMath  7 месяцев назад +1

    Help me finish this course by joining Wrath of Math to access exclusive and early linear algebra videos, plus lecture notes at the premium tier!
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  • @lazybeans9769
    @lazybeans9769 10 месяцев назад +12

    Just found this channel now and it's soooo good, really high quality and clear teaching

    • @WrathofMath
      @WrathofMath  10 месяцев назад +2

      Thanks so much! Still a long ways to go to finish my linear algebra series, but I'm hard at work!

  • @nguyenvanthuc9067
    @nguyenvanthuc9067 Год назад +8

    Very clear about reduced row - echelon matrix. Thank you sir!

  • @RichardLi-k6s
    @RichardLi-k6s 10 месяцев назад +23

    In finding the RREF, how did you get the top row to change into 1 3 1 from 1 3/2 2?

    • @coldfreeze267
      @coldfreeze267 9 месяцев назад

      Exactly

    • @liamoleary8458
      @liamoleary8458 9 месяцев назад

      he added R1 and R2 in the same step he just forgot to explain

    • @WrathofMath
      @WrathofMath  8 месяцев назад +6

      I added Row 2 to Row 3. I don't know why I did that or why I didn't mention it in the video, my bad!

    • @fiction86ff
      @fiction86ff Месяц назад

      Before 4th step ...just do (R1=R1 -R2)...then continue the process

  • @djdanzo206
    @djdanzo206 10 месяцев назад +4

    6:13 i love how you clearly showed every step involved ,i am now subscribed

  • @markaragnos2446
    @markaragnos2446 Год назад +6

    6:49 Row 1, how is 3/2 turning into 3(which needs multiplication by 2), and 2 turning into 1(which needs division by 2).

    • @markaragnos2446
      @markaragnos2446 Год назад

      reply under @karenwoodruff4813 's comment by @ikersanchez8222 fixed and gave the correct answer for it.

    • @WrathofMath
      @WrathofMath  8 месяцев назад

      I added Row 2 to Row 3. I don't know why I did that or why I didn't mention it in the video, my bad!

    • @Napoleon493
      @Napoleon493 6 месяцев назад +1

      @@WrathofMath You mean you added Row 2 to Row 1 not Row 3

  • @ammaryildirim7721
    @ammaryildirim7721 Год назад +9

    pure quality, keep the good work up!

    • @WrathofMath
      @WrathofMath  Год назад +3

      Pure quality is exactly what I'm going for - thank you!

  • @henrywoo1668
    @henrywoo1668 Год назад +11

    Thank you sir for your exceptionally clear explanation !❤

  • @HeatherT-ht2ch
    @HeatherT-ht2ch 8 месяцев назад +1

    Thank you for such a clear explanation! Helped me a lot!

  • @SzTz100
    @SzTz100 8 месяцев назад +1

    I have to say, you are a brilliant teacher. You present it at the exact speed I like to consume it. And your presentation style is very clear, have you worked in the theatre before ?

    • @WrathofMath
      @WrathofMath  8 месяцев назад +2

      Thank you! I did actually work in theatre for 5 years as a teenager!

    • @PunmasterSTP
      @PunmasterSTP 5 месяцев назад

      @@WrathofMath What parts/plays did you do?

    • @WrathofMath
      @WrathofMath  5 месяцев назад +1

      @@PunmasterSTP I (in a giant costume) was a small part of a few daily shows at a park. Mostly just one show a thousand times. This is a trailer for the show, but before the 3D movie would play there was a brief on-stage part which I would do, and also an after-show on-stage part to take photos.
      ruclips.net/video/r2w33rGKeu8/видео.html&pp=ygUYYSB0aW5rZXJkb29kbGUgY2hyaXN0bWFz

    • @PunmasterSTP
      @PunmasterSTP 5 месяцев назад

      @@WrathofMath Whoa that's really cool! I've never been to Santa's Village, but it would be neat to visit sometime.

  • @aisharkqiilah
    @aisharkqiilah 11 месяцев назад +2

    Very well-explained! Thank you so much

    • @WrathofMath
      @WrathofMath  11 месяцев назад

      Glad it was helpful!!

  • @theekshanafernando2370
    @theekshanafernando2370 10 месяцев назад

    best video by explaining practical usage

  • @kusalaphameya3421
    @kusalaphameya3421 7 месяцев назад

    What a great easy to follow explanation

  • @yusufabdulraheem8339
    @yusufabdulraheem8339 Месяц назад

    Thank you, this was very descriptive

  • @Kaydee_the_wise_one
    @Kaydee_the_wise_one Месяц назад

    🙏 thanks sir once you get to know the characteristics/ properties of the reduced row echelon then what enables us to know the workings towards getting the solution. Main thing I picked up from this lovely video..

  • @CynthiaMadolwana
    @CynthiaMadolwana 9 месяцев назад

    I thank you. You helped me. I was struggling to find different between row echelon form and reduced row echelon form😊

  • @FahimBinImam
    @FahimBinImam Год назад +1

    Awesome and clear Video.keep it up sir.

  • @kazadichiputa
    @kazadichiputa 3 месяца назад

    Fantastic explanation

    • @WrathofMath
      @WrathofMath  3 месяца назад

      Glad it was helpful, thanks for watching!

  • @hostelboyz23
    @hostelboyz23 7 месяцев назад

    Such a great vedio on REF

  • @1MASHAAAA
    @1MASHAAAA 5 месяцев назад

    Thank you very much for the clear explanation :)

    • @WrathofMath
      @WrathofMath  5 месяцев назад +1

      Glad to help - thanks for watching!

  • @kumarprosenjit9714
    @kumarprosenjit9714 7 месяцев назад

    Hey buddy love this tutorial. 😇

  • @k_now7632
    @k_now7632 6 месяцев назад

    6:50 How did in mid bottom matrix a12 became 3 from 3/2?

  • @pinkkitty6553
    @pinkkitty6553 Год назад

    thanks a lot, you explained it best with most clarity

    • @WrathofMath
      @WrathofMath  Год назад

      Glad it helped - thanks for watching!

  • @karenwoodruff4813
    @karenwoodruff4813 Год назад +6

    How did you get the top row from 1 3/2 2 to become 1 3 1?

    • @muhammadaskari125
      @muhammadaskari125 Год назад +3

      Same question?

    • @ikersanchez8222
      @ikersanchez8222 Год назад +2

      I think it's just an error. He only affected the second row in that step, hence first row must have stayed intact. You can obtain the reduced echelon form of A by substracting -3/2R2 from R1 if no change in R1 at 6:46 is made.

    • @regenreggie4040
      @regenreggie4040 Год назад +2

      It seems he just did an extra step without saying anything. If you add row 2 to row 1 you get that change, it was a really quick step that made it more readable so he just forgot to mention it.

    • @user-zz6wc4in4q
      @user-zz6wc4in4q 11 месяцев назад +2

      I came to the comment section for this exact question. I think he made an error.

  • @Napoleon493
    @Napoleon493 6 месяцев назад

    You explain so good I don't know why you left some steps out of the video. The exercise is not making sense anymore

  • @ShermukhammadKarimov
    @ShermukhammadKarimov 7 месяцев назад

    thanks for clear explanation

  • @Nova96v
    @Nova96v Год назад +1

    I guess only your playlist can save me

    • @PunmasterSTP
      @PunmasterSTP 5 месяцев назад

      Did it end up saving you?

    • @Nova96v
      @Nova96v 5 месяцев назад +1

      @@PunmasterSTP indeed

    • @PunmasterSTP
      @PunmasterSTP 5 месяцев назад

      @@Nova96v Awesome! Did you have to take another math class after linear algebra?

    • @Nova96v
      @Nova96v 5 месяцев назад +1

      @@PunmasterSTP if we're talking about the topics of linear algebra covered in his playlist, no I did not have to go anywhere

    • @PunmasterSTP
      @PunmasterSTP 5 месяцев назад

      @@Nova96v Sounds good. Did you have to take any other math classes in your college or university, or was LA your last one?

  • @yashkashyap3887
    @yashkashyap3887 Год назад

    Thanks a Ton!!!

  • @danahbinseaidan2319
    @danahbinseaidan2319 4 месяца назад

    6:54 how did 3/2 and 2 become 3 and 1 ?

  • @ErnestAgyir-mg8hl
    @ErnestAgyir-mg8hl 8 месяцев назад

    Does it mean every individual needs to get the same answers in finding ref of a matrix

  • @TechnoSoftlk
    @TechnoSoftlk 5 месяцев назад

    Thank youuuuuuuuuuuuuuuuuuu

    • @WrathofMath
      @WrathofMath  5 месяцев назад

      Glad to help! Thanks for watching!

  • @LITG7000
    @LITG7000 Год назад +1

    so is this like solving a puzzle, theres no one way to do it, end goal being reduced row echealon form?

    • @LITG7000
      @LITG7000 Год назад

      also when do you know what to use like when do you use R1 R2 vs R3 solving?

    • @manmathgodre5360
      @manmathgodre5360 Год назад +1

      Basic Rule-there should be not a non zero element below the Upper non zero element in each rows

  • @PunmasterSTP
    @PunmasterSTP 5 месяцев назад

    If there were math games, you'd make a great rref! 😆

  • @barclayswsltv
    @barclayswsltv Год назад

    Nice vid x

  • @coding.catalyst
    @coding.catalyst 3 месяца назад

    How to reduce a non-Square matrix into echelon form?
    Please explain...

    • @JeronimoStilton14
      @JeronimoStilton14 2 месяца назад

      The same way.
      Edit: I will add, nothing about the rules or operations of reducing a matrix require that it be square.

  • @Ramdevgaming99
    @Ramdevgaming99 Год назад

    loved it

  • @thatomaile2080
    @thatomaile2080 9 месяцев назад

    How did 3/2 turn into 3

  • @pinksurface7753
    @pinksurface7753 Год назад

    You speak English very fast but your explanation is good 👍.

  • @lilianjoseph7117
    @lilianjoseph7117 Час назад

    🔥🔥🔥🔥

  • @CynthiaMadolwana
    @CynthiaMadolwana 9 месяцев назад

    8:17

  • @ahsanulhoque4016
    @ahsanulhoque4016 6 месяцев назад

    adult sheldon

  • @Livnidominick
    @Livnidominick 3 месяца назад

    i will never understand this omg

    • @WrathofMath
      @WrathofMath  3 месяца назад

      Hit me with some questions and I'd be happy to help. Some of the RREF - related videos in my exercises playlist may also help ruclips.net/p/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc

  • @roninxlonewolf
    @roninxlonewolf 8 месяцев назад +1

    6:49 Row 1, how is 3/2 turning into 3(which needs multiplication by 2), and 2 turning into 1(which needs division by 2).

    • @omarsiefeddine4239
      @omarsiefeddine4239 8 месяцев назад +2

      yes exactly i was coming to write it in the comment section

  • @CynthiaMadolwana
    @CynthiaMadolwana 9 месяцев назад

    8:17