Why are Matrices Useful?

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  • เผยแพร่เมื่อ 14 พ.ย. 2024

ความคิดเห็น • 28

  • @christianlira1259
    @christianlira1259 2 ปีที่แล้ว +29

    This example of the network nodes and paths to build a starting matrix is very good, and thank you for being the first one to provide an example of how in a practical manner it is applied.

  • @dibbsalmighty
    @dibbsalmighty ปีที่แล้ว +20

    THANK YOU! When I was trying to learn matrices, I struggled so hard because nobody ever offered a practical example of what they can be used for... my prof and curriculum just jumped into the empty motions of completing math problems involving matrices, but never clarified how they would be used beyond passing a math class. I knew if I could just get a clear example like this, I could make more sense of what I was doing, which is the only way it sticks in my mind.

  • @BooksInSeconds
    @BooksInSeconds 21 ชั่วโมงที่ผ่านมา

    Very clear explanation! I’m curious, can we solve this same example, using network analysis, that is critical path and stuff?

  • @zuhakhalid3139
    @zuhakhalid3139 ปีที่แล้ว +6

    Excellent explanation. No one has ever taught mathematics like that

  • @aaryamansharma3003
    @aaryamansharma3003 8 หลายเดือนก่อน

    Thanks for the clear explanation using a practical example. It helps to understand why are we using matrices and why they are useful

  • @huicewrld
    @huicewrld ปีที่แล้ว +8

    Was studyin this fr 3 years, tday i knew whr it is used😂

  • @richoneplanet7561
    @richoneplanet7561 9 หลายเดือนก่อน

    That is a great example- thank you!

  • @jay_wright_thats_right
    @jay_wright_thats_right 6 หลายเดือนก่อน +1

    This was really good, thank you!

  • @mykhailoandrushchenko2222
    @mykhailoandrushchenko2222 5 หลายเดือนก่อน

    Thank you! This example is really useful

  • @PersonalGrowthOfficial
    @PersonalGrowthOfficial 6 หลายเดือนก่อน +1

    Thank you so much for this. This helped me today.

  • @MackLouis-k2q
    @MackLouis-k2q ปีที่แล้ว

    wow! I have no experience with advanced math but yet i understood what you were saying clearly!

  • @hkhj139
    @hkhj139 9 หลายเดือนก่อน

    Great example

  • @paulmfdoyle
    @paulmfdoyle 2 หลายเดือนก่อน +1

    It is just a table

  • @klyist
    @klyist ปีที่แล้ว

    thanks for the great explanation showing use case .

  • @Learner-wz5ou
    @Learner-wz5ou ปีที่แล้ว

    This is amazing, thank you!

  • @lalaleyy6660
    @lalaleyy6660 5 หลายเดือนก่อน

    Thanks!😭🥹

  • @thecatthatbit181
    @thecatthatbit181 5 หลายเดือนก่อน

    Great

  • @richasinh
    @richasinh 3 ปีที่แล้ว +1

    Nice !! Thank you.

  • @yaseenbshina3140
    @yaseenbshina3140 ปีที่แล้ว

    I like that explanation

  • @apel1752
    @apel1752 11 หลายเดือนก่อน +1

    sir, then what's the difference between Matrix and Algorithm? in terms of the same example you're using..

    • @MathPartner
      @MathPartner  11 หลายเดือนก่อน +2

      These are completely different things so it very difficult to compare in the way that you request (i.e., identifying their differences).
      An algorithm is a set of rigorous instructions that allows a process to be carried out.
      A matrix is a table of elements where the rows and columns have some particular relationship to each other.
      In the example given in the video, the matrix formed is the set of weighted and directed connections between the nodes A, B, and C.
      From here we may choose to perform some operations such as finding the inverse, eigenvectors and eigenvalues, the degree and path centrality, or walks, cliques and subgraphs. The operations used to find each of these could be described as algorithms.

  • @rogeronslow1498
    @rogeronslow1498 10 หลายเดือนก่อน +1

    You compiled a table or array of numbers, you didn't create a matrix. There was no mention of the numbers representing the coefficients of an equation.

    • @MathPartner
      @MathPartner  10 หลายเดือนก่อน +1

      The example in this video forms a weighted adjacency matrix of a graph.
      You have mentioned another application of matrices which is to form a matrix representation of a system of equations, which includes a coefficient matrix. This is a different example to that given in this video.
      Matrices can arise in many other situations, too. The aim of this video was to show one simplified, real-life example.

  • @Ean_j
    @Ean_j 6 หลายเดือนก่อน

    So can matrices be identified by letters too?

  • @hgfuhgvg
    @hgfuhgvg 4 ปีที่แล้ว +5

    This does not explain why matrix multiplication is defined the way it is

    • @MathPartner
      @MathPartner  4 ปีที่แล้ว +2

      This video helps to answer your question: th-cam.com/video/IETgZtiHqZ8/w-d-xo.html&ab_channel=MathsPartner

  • @alleksandrs
    @alleksandrs ปีที่แล้ว

    Probably a good lecture, but do you have an other video version of it, where all the questions "OK?" after each sentence are muted?

  • @DallasPilcher
    @DallasPilcher 3 หลายเดือนก่อน

    L.O.T.V.