Linear Algebra 3c2: Decomposition with Polynomials 2

[NESified]

The perfect pace at which you introduce new concepts, whilst all along asking thought-provoking questions which seem to deliberately push my trail of thought in the right direction, have made this Linear Algebra course not only extremely effective, but thoroughly enjoyable. Such great work deserves an equally great thank you, and so I thank you for your time, and for the effort you have put into making this series.

[YoutubeTV-mbkf]

Your way of teaching is really impressive. Enjoying very much all the classes. Congrats.

[antonellomascarello]

8:42 : Question #1 : a systematic approach for decomposition
9:28 : Question #2 : how many polynomials do we need for decomposition

[budokan]

I have finally learned the etymology of the word I have been using for over 30 years and the meaning of the metaphor it uses. So, as a non-native English speaker, the etymology of "Bootstrapping" was the most exciting information of this video for me. Thank you very much, this is real education.

[zakariehashi]

I really enjoyed all your videos, it is so helpful, you made linear algebra so simple and fun.

[kitsueb]

The term bootstrap is an abbreviation for "to pick one's self up by one's bootstraps". Boot straps are not laces, they are the loops on the side/back of some boots the you use to pull them on. The expression implies getting somewhere unreachable by improbable means (i.e. you do it by starting to do it).

[Whatever-jmul]

Youtube will start recommend this after some years lol

[pt-au-hg]

I done this in a different way, but not sure why it exactly works in matrix form. I put on the left side of a matrix starting from one then x followed by x^2. Then as column vectors I wrote how many of the one's (constant term) I had, then how many x's and finally how many x^2 I had. I augmented the matrix by a column vector, in the same order, of my answer polynomial (the target polynomial). I reduced ecleon the matrix and the augmented matrix gave the required coefficients of the basis poly'ns. I wonder if this would work for any poly'ns?

[keghnfeem]

It was going great until this video. no clue what your doing and on the video before
this one. I thought your method was move 7 over and divide by three in previous.
 way do vague here.