Positive Definite Matrices

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
A positive definite matrix has positive eigenvalues, positive pivots, positive determinants, and positive energy.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
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Пікірлер: 43

  • @mohamedakrout9742
    @mohamedakrout97426 жыл бұрын

    "Can I draw a picture ?", "Can I show you why it is the case ?". I simply love this man!

  • @shrinivasiyengar5799
    @shrinivasiyengar57995 жыл бұрын

    I keep seeing everyone calling (x' S x) something related to energy. Can someone point me in a general direction as to what I should know/read about to know what that thing is that he is talking about. I understand that the topic has nothing to do in particular with this, but i would like to know more.

  • @Stan-san
    @Stan-san7 жыл бұрын

    Positive energy is in this room

  • @MertTheDragonReborn
    @MertTheDragonReborn8 жыл бұрын

    I can't thank enough for the video. It is very useful and explained perfectly. Love from Turkey

  • @markgeanacopoulos1729
    @markgeanacopoulos1729 Жыл бұрын

    Great teacher, but it was quite disappointing to see advice at the end on how to ace an interview for a position as a wall street kleptocrat.

  • @kejisong1852
    @kejisong18525 жыл бұрын

    Why any of those 5 tests is sufficient to make the matrix S positive defined?We can still find a matrix A whose principle minors(the upper left determinant case you said)are positive but X^TAX less than or equal to 0 which means that A is not positive defined.

  • @Sundaresan1311
    @Sundaresan13116 жыл бұрын

    Explained beautifully, you are not just knowledgeable but also a great teacher, thanks a lot sir for explaining with such simplicity

  • @vasuverma5013
    @vasuverma5013

    Prof. Strang is the best

  • @Steve-tp9rl
    @Steve-tp9rl3 жыл бұрын

    This guy dwarfs tracking kornacki

  • @SelviaResearch
    @SelviaResearch7 жыл бұрын

    This is gold

  • @robby.costales
    @robby.costales5 жыл бұрын

    At

  • @georgesadler7830
    @georgesadler78303 жыл бұрын

    Another great lecture by Dr. Gilbert Strang. Positive Definite Matrices are heart of linear algebra.

  • @ToniSkit
    @ToniSkit5 жыл бұрын

    Gilbert Strang is the best- I really enjoy his classes! Awesome professor

  • @Leowlion11
    @Leowlion117 жыл бұрын

    Thank you so much, sir. Real passion for mathematics this is.

  • @justpaulo
    @justpaulo2 жыл бұрын

    17:36

  • @hanxiongwang3406
    @hanxiongwang34066 жыл бұрын

    Thank you so much prof Gilbert Strang

  • @jameswilson8270
    @jameswilson82705 жыл бұрын

    Very good and informative lecture!

  • @Tyokok
    @Tyokok4 жыл бұрын

    great video! can some one point me to the link to the previous lecture? thanks a lot!

  • @dilmuratablimit
    @dilmuratablimit6 жыл бұрын

    Thank you!

  • @kinetickame1203
    @kinetickame12035 жыл бұрын

    Prof. Strang is amazing