Solving a Leontief Input-Output Model using Matrix Algebra

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  • Опубліковано 16 вер 2024
  • This video goes through an actual example of solving a Leontief Input Output Problem using techniques learned in matrix algebra.
    Created by Justin S. Eloriaga
    Website: justineloriaga.com

КОМЕНТАРІ • 39

  • @alexandros815
    @alexandros815 Рік тому +6

    1 hour before the exam this dude saved my ass! thanks buddy

    • @bambino1018
      @bambino1018 Рік тому +1

      2hrs before mine atp😂😂

  • @LoserGopher
    @LoserGopher 2 роки тому +2

    Really helpful, I liked your simple way of explaining it. Thank You!

  • @EmoryESS
    @EmoryESS 10 місяців тому

    Thank you Justin for saving me again

  • @abedatabassum6694
    @abedatabassum6694 3 роки тому +8

    7:15 How is (0.25x0.20)-(0. 10x0.1 5)=0.585???
    My result shows 0.035

    • @wina1710
      @wina1710 2 роки тому

      am wondering too about the figures

    • @emiliathomas1802
      @emiliathomas1802 Рік тому

      I'm also trying to figure that one

    • @santanari
      @santanari Рік тому +2

      @@emiliathomas1802 it's because you have to look for the cofactor matrix of the leontief matrix (this is the I-A matrix), not A as demonstrated in the video

    • @LucyMburu605
      @LucyMburu605 Рік тому

      @santari thanks alot now it makes sense

  • @amanimimbi2325
    @amanimimbi2325 2 місяці тому

    you did it!

  • @jayashreerana1_2_3_4
    @jayashreerana1_2_3_4 Рік тому +2

    Thank you sir 🙏

  • @abdisabelete1911
    @abdisabelete1911 Рік тому

    I haven't words which I thanks by you!

  • @JanetPatemoshela1993
    @JanetPatemoshela1993 Рік тому +2

    its made clear. just the last, the question says the demands have increased by 40 and 70 respectively. the new output demand is not supposed to be 40 and 70 but the original demand minus the change. like industry 1 will be 400+40=440, industry 2, 100+70=170 and industry 3 1500-100=1400. correct me if I am rwong

    • @JanetPatemoshela1993
      @JanetPatemoshela1993 Рік тому

      but overall this is one of the few videos that explained all the steps of an input output model. please make one for a bordered hessian again with all the steps

  • @jorgealejandrosaavedragarc6924
    @jorgealejandrosaavedragarc6924 2 роки тому +1

    Bien, utiliza la inversa de la matriz de Leontief directamente , luego la adjunta traspuesta y el ya le cambio de signo, para luego multiplicar vector por vector y obtener la nueva respuesta de los nuevos X1, X2,X3.

  • @LucyMburu605
    @LucyMburu605 Рік тому +1

    Your the best but kindly at finding the cofactor you have mislead most of us

  • @NKSamson
    @NKSamson Рік тому

    Amazing Video, thank you!

  • @nanakwasiboadi6077
    @nanakwasiboadi6077 5 місяців тому

    Pls help me...
    In the Leontief input-output model, how do I find the following:
    1. impact multipliers
    2. Intra and inter-sector effects

  • @Ballers_updates
    @Ballers_updates Рік тому +2

    nice lecture
    at 14.0 do you mind explaining how you are getting o.7?
    I will appreciate

  • @shaifalirathore3905
    @shaifalirathore3905 2 роки тому

    (d) part says that demand increases or decreases by (not to) therefore we should increase d1 by 40 i.e 400+40= 440

  • @luthfiasalma5374
    @luthfiasalma5374 3 роки тому +2

    in number 3 where do you get 0.70 ; 0.45 ; 0.60?
    hope you reply to my question
    thank you

    • @luthfiasalma5374
      @luthfiasalma5374 3 роки тому +1

      why the primary must 0.70?

    • @carolynejepchumba6906
      @carolynejepchumba6906 3 роки тому +3

      The columns stands for the inputs.So O. 70 , 0.45, 0.60 comes by adding the columns of matrix (I-A)

  • @Septumsempra8818
    @Septumsempra8818 3 роки тому

    I'd really love to see this in R!
    Great vids, keep up the good work
    s/o from South Africa

  • @millicentsarfo7622
    @millicentsarfo7622 Рік тому

    Please where did u get the 0.70 and 0.45 that's the number 3

  • @user-hp1qh5bc3x
    @user-hp1qh5bc3x Рік тому

    Thanks☺

  • @ephraimakaffu9874
    @ephraimakaffu9874 2 роки тому

    thank u too sir, God blesssssssssssssssssssss u

  • @nana_os
    @nana_os Рік тому +2

    Approach is perfect yet answers are full of mistakes. I would advise you dont compare your answers to his. The first co-factor was wrong and also when he was finding the inverse, instead of a determinant of 0.4773 he used 0.4733 which has make all his solutions wrong but one a correct method working with wrong figures

  • @jorgealejandrosaavedragarc6924
    @jorgealejandrosaavedragarc6924 2 роки тому

    Estoy analizando : Una alternativa de agregacion in input output analisis and national accounts ( 1967).

  • @simbarashejimu7437
    @simbarashejimu7437 3 роки тому +1

    Solve that's for meConsider a Leontief input-output model with no substitution. Assuming that the input matrix is given by .
    Prove that this production plan is efficient. [6 Marks]
    Show that any production plan with is a profit maximizing at a unique vector of prices. [8 Marks]
    Show that the prices obtained in (b) have the interpretation of the amounts of the primary factor directly or indirectly embodied in the production of one unit of the different goods. [11 Marks]

  • @TetemkeShege
    @TetemkeShege 8 місяців тому

    good

  • @misskanikac9283
    @misskanikac9283 5 місяців тому

    Primary input 0.70 how is it come?

  • @greenhunter5420
    @greenhunter5420 2 роки тому

    Pano nakuha Yung sa inverse na answer e.g. 1.2256 and so on. Dito ako nalilito....
    Sana may make answer....

    • @1620ja
      @1620ja 2 роки тому

      Idivide mo bawat entry with the determinant which is 0.4773. So for a11 or entry 0.585, it will be 0.585/0.4773 = 1.2256.

  • @simbarashejimu7437
    @simbarashejimu7437 3 роки тому

    Y/a= 1-A
    B