Linear Algebra 19t: I Once Was Blind, but Now Am Dilated

[darrenpeck]

The best approach to linear algebra on the internet! Thank you!

[noobeater]

Very nice demonstration of the power of component space.

[weicheng]

Hi Professor, this is video is missing in lem.ma. It is a pity that such a great quality series on Linear Algebra has only received a couple of thousands of views so far. I have been studying it from the beginning up to here in lem.ma and I also watched the whole Linear Algebra series from Prof. Gilbert Strang. I would say the quality is as good as Prof Gilbert Strang's and personally, I enjoy Prof Grinfeld's more.

[leandrocarg]

Beautiful, I'm reviewing linear algebra and this video inspired me to pursue the general eigenvalue problem for any dilation in the space of finite power polynomials. I think I've got the answer =) so, thank you very much!

[JH-qktj]

Great series, enjoying it so far. Why not draw borders on the blackboard before you start filming did you don't need to keep checking that what you're writing is being caught by the camera?

[zhangjin]

but for a linear transformation for in a polynomial vector space, multiply between x does not seem to be defined?

[tangolasher]

For the third element in the basis, should the transformed version of it be 2x^2 - 1? Because you would plug x^2 into p(2x - 1), right? No idea how you came up with it the other way, please explain, thanks.

[pyrotalk]

Please can you do real work applications of these theories