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
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Пікірлер: 43
"Can I draw a picture ?", "Can I show you why it is the case ?". I simply love this man!
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.
Positive energy is in this room
I can't thank enough for the video. It is very useful and explained perfectly. Love from Turkey
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.
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.
Explained beautifully, you are not just knowledgeable but also a great teacher, thanks a lot sir for explaining with such simplicity
Prof. Strang is the best
This guy dwarfs tracking kornacki
This is gold
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Another great lecture by Dr. Gilbert Strang. Positive Definite Matrices are heart of linear algebra.
Gilbert Strang is the best- I really enjoy his classes! Awesome professor
Thank you so much, sir. Real passion for mathematics this is.
17:36
Thank you so much prof Gilbert Strang
Very good and informative lecture!
great video! can some one point me to the link to the previous lecture? thanks a lot!
Thank you!
Prof. Strang is amazing