3.3.7-Linear Algebra: Vector and Matrix Norms

These videos were created to accompany a university course, Numerical Methods for Engineers, taught Spring 2013. The text used in the course was "Numerical Methods for Engineers, 6th ed." by Steven Chapra and Raymond Canale.

[matISrandom]

For future lessons, supplement your theory with examples so people learning online can have a better understand of this concept :)
Keep up the good work Jacob :)

[shengcheng]

I don't think your expression of p-norm for a matrix is right. Take p = 2, then the expression for 2-norm is the same with the Frobenius norm, which is not the case generally.

[handler_]

Really nice explanations. Only issue I had was a little too many "uhs". It starts to get to distracting a less than a minute into the video. Other than that, really helped clear up some questions. Thanks!

[azizaalkuatova]

What if it is written to find a ||Ax|| ? is it an ||A||1 norm?

[brindians]

Why use 1- norm, and other? What do they even mean in real life. I understand the algebra but I need information which is beyond formula. It would be great if you can help with some example.


Do they mean "error function" which we want to minimize in machine learning?

[naqashabbasi]

What is the norm of matrix say A in p-adic spaces?

[BenevolentXMachine]

what's the difference between the ai and xi in the vectors?

[doodlehoo]

Thank you so much! This was incredibly helpful!!!

[irekeejindu]

Nobody cares about definitions of you can't supply an exam with them