topics covered: - Introduction to the the system Ax=b with A rectangular of dimension m x n, brief discussion on the cases mn - regularization, basic idea. - norm of vectors, geometric consideration on the unit ball - Fredholm-Alternative: Ax=b have a solution when b and the null space of the adjoint operators are ortogonal - what means have a null space not empty? simple case study. - propeties of the linear operator A
Professor Kutz makes math looks so easy! thanks for sharing your lectures! Helps a lot for many students trying to fight their way through linear algebra!
Absolutely love your way of teaching. You're one of my favourite mathematicians
Fantastic explanations in each domain from signal processing to neural networks! Thank a bunch!
topics covered:
- Introduction to the the system Ax=b with A rectangular of dimension m x n, brief discussion on the cases mn
- regularization, basic idea.
- norm of vectors, geometric consideration on the unit ball
- Fredholm-Alternative: Ax=b have a solution when b and the null space of the adjoint operators are ortogonal
- what means have a null space not empty? simple case study.
- propeties of the linear operator A
Professor Kutz makes math looks so easy! thanks for sharing your lectures! Helps a lot for many students trying to fight their way through linear algebra!
Learned these in college.. glad to have resource online for a refresh! Thanks!
Thank you so much for sharing such an important course, Professor!
Here is a list of the whole series of videos on Applied Linear Algebra: ua-cam.com/play/PLFB8R5rtkrDrcuIyA1vKAr9F1s-aETOJ3.html&si=dXl6UYEGpti-l1CE
I hope i were in the class
😊
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