Linear Algebra 1.5.1 Homogeneous System Solutions

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  • Опубліковано 11 гру 2024

КОМЕНТАРІ • 42

  • @DeezNutz-r6i
    @DeezNutz-r6i 2 місяці тому +5

    You’re the reason I have a 94% in the class. Thank you!

  • @russellhan3534
    @russellhan3534 7 місяців тому +31

    clutching up linear algebra the night before my finals, godsend

    • @Tory442
      @Tory442 23 дні тому

      real

    • @russellhan3534
      @russellhan3534 23 дні тому +1

      @@Tory442damn, your reply reminded me of this comment i made. Now im trying to last minute clutch up an entire semester's worth of notes for my multivariable calculus finals next week, looks like some things really don't change

    • @saturn5312
      @saturn5312 7 днів тому

      real

  • @gamisr2848
    @gamisr2848 4 місяці тому +3

    I'm taking Linear in the fall and these videos have been a tremendous help. I tried following the MIT Linear Algebra videos and just could not follow all of them. Much love and appreciation for your efforts Professor.

  • @mohamed-aladawy
    @mohamed-aladawy Рік тому +45

    am a computer science student at cairo university, our course in the linear algebra isn't good at all. Most of my collages watch ur videos to be able to now what the linear algebra is, Thank u so much for this awesome playlist, an extra note, We used to call u "Tant", It's an Egyption word that used to be told to women to show respect 😂🥰♥♥♥♥.
    again, Thank u so much, and I hope u continue ur amazing work In the beautiful channel.

    • @SawFinMath
      @SawFinMath  Рік тому +17

      I'm so glad I'm able to help! And I will take the compliment!!

    • @NikesDarkslayer
      @NikesDarkslayer 10 місяців тому +11

      I searched for the meaning of the word Tant, and indeed it is used as a form of respect for old womans, but also means Aunt, and that is incredible, because here in brazil, when we are young we do not refer to our teachers as Mr or Mrs, we call female teachers as Aunt and male teachers as Uncle.

    • @Reallyryan53
      @Reallyryan53 4 місяці тому +3

      ​@@NikesDarkslayerYoo, almost the same in Kazakhstan. I guess it's popular in lots of cultures

  • @huybui2413
    @huybui2413 3 роки тому +19

    Been using this for the last 5 lessons and have been loving them!! Thank you so much for these videos! They're so short and sweet, and they teach me more than my prof does in 2 hour lectures. Would love to see more videos on the lessons that werent seen in this playlist like 1.9 and 1.10 but thank you so much!

    • @christianfeliciano3145
      @christianfeliciano3145 Рік тому

      Absolute facts, my professor does 3 hour lectures and yet are explained in the most complicated way ever

    • @horikatanifuji5038
      @horikatanifuji5038 Рік тому

      What textbook is being used?

  • @bleached_coral
    @bleached_coral 2 місяці тому

    this playlist is very easy to follow along, thank you Professor Brehm!

  • @mukhammadalisadriev
    @mukhammadalisadriev 2 роки тому +6

    just fantastic as simple as possible thank's a lot your videos were really helpful

  • @heyguys2543
    @heyguys2543 2 роки тому +6

    Amazing lecture! Thank you

  • @Kidpunk98
    @Kidpunk98 5 років тому +6

    So, at 12:18 , why did you not multiply row 1 by 8 so you can get rid of the 2 in the second row

    • @chanoukpark
      @chanoukpark Рік тому

      That would be a bad choice because if you did that, Row 2 Column 1 would turn to an 8.

  • @Ariobarzanes113
    @Ariobarzanes113 10 місяців тому +1

    Thank You Ma'am🌹

  • @jinnjinn5567
    @jinnjinn5567 Рік тому +4

    So non-pivot columns indicate free variables ?

  • @NikesDarkslayer
    @NikesDarkslayer 10 місяців тому

    10:08 at this point in the video you just take row1 and subtracted by row3 and replaced at row3
    I can't really see how you managed to do it with just a row replacement operation, I can only do it by doing two operations
    - Replacement on Row3 targeting Row1 multiplying with -1 then Scaling Row3 with -1

  • @ayeshasarwar4696
    @ayeshasarwar4696 3 місяці тому

    can there be multiple solutions for the second last example you did. the practice one. i did get x3 as a free variable but not the same vector values as you. so i wanted to double check

  • @zuko803
    @zuko803 2 місяці тому

    how is x3 and x4 are free variable?

  • @souravchakraborty6766
    @souravchakraborty6766 2 роки тому +1

    Hi, at 0:41 you wrote Ax = 0. I think it is supposed to be A(vector X) = vector 0.

  • @azhua123
    @azhua123 Рік тому

    13:09 why is it -2? are we subtracting?

  • @liamhoward2208
    @liamhoward2208 2 роки тому +2

    Is there only one way to get the matrix in reduced row echelon form?

    • @SawFinMath
      @SawFinMath  2 роки тому +4

      There is only one reduced row echelon form. You can get to it a different way, but only one solution

    • @liamhoward2208
      @liamhoward2208 2 роки тому +1

      @@SawFinMath Thank you

    • @liamhoward2208
      @liamhoward2208 2 роки тому +1

      @@SawFinMath @ 14:24 Why didn't you continue to reduce the 2 in row 2 column 3?That could be made into a zero right?

  • @phantom_drone
    @phantom_drone 2 роки тому

    thanks you so much, my teacher did not teach this

  • @azhua123
    @azhua123 Рік тому

    @15:31, where do the x1 and x2 go?

    • @bleached_coral
      @bleached_coral 2 місяці тому

      x1 is in row 1, x2 is in row 2.
      explained @12:29

  • @AaronDGreen
    @AaronDGreen 3 роки тому

    Why did you leave two numbers in column 3 at 13:00?

    • @sl_50
      @sl_50 2 роки тому +3

      since x_3 is a free variable (and we're left with an all-zero row at the bottom), there's no matrix row operations you could use to get rid of either of the two values without messing up the pivots. for that reason, the answer is defined with respect to x_3

  • @feilongish
    @feilongish Рік тому +1

    complete stuff

  • @swadkazi182
    @swadkazi182 10 місяців тому

    I love you

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    @Josiehallatt Рік тому +9

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      @Rahul-yu3ro 10 місяців тому +9

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      @king069-xr3hm 6 місяців тому +2

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      @dhivyasanthosh5063 15 днів тому

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  • @Ilovemywifekimgaeul
    @Ilovemywifekimgaeul 3 місяці тому

    Homo genius : me