The Strang Decomposition A = CR

This video is about a new matrix decomposition invented by Gilbert Strang.

[lanimulrepus]

Wonderful to have you back... Still keep your excellent book on Tensor Analysis & The Calculus of Moving Surfaces on my desk... Strange and Grinfeld: Great Books and lectures to learn by...

Thank you, mr. Strang's intellectual heir.

[shlokdave]

Professor, please continue making videos regularly. I absolutely love your lecture series and books. Your book on Tensor Calculus is amazing. And thank you for making this particular lecture available online. If there is one math book which I like more than yours, its by Prof Strang. You two have an amazing command over these critical subjects.

[mikelevels]

Your back! Thank you so much for this upload.

[antoniolewis]

I appreciate the emphasis on beauty and aesthetics in these formulas. They help make mathematics less dry and more beautiful.

[thelocalsage]

you are one of my favorite math teachers on youtube i would definitely be lost trying to study math after college without your work

[shlokdave]

Professor, kindly make a series on ordinary differential equations as well. It will be great to re learn the subject using your insights on the topics. Thank you.

[Nothing-joci]

Hello back professor Grinfeld, you're Linear Algebra playlist the the True One and I've learned so much so far, now I'm addicted to your teaching approach for math. Wished you had a calculus1 playlist too. Sheers

[ichwillkeinenchanne]

Thank you for being back, with new style, so to say.

[Danny-hjqg]

Must be very cool for those kids to have Seth Rogen as their math professor.

[Nothing-joci]

Hello professor Grinfeld.! Have you ever thought of creating a calculus playlist for beginners, as your Linear Algebra playlist? It would be phenomenal for people like myself, whom\who enjoy math and want to become mathematicians.

[donaldbesong]

Yep! Professor Gilbert Strang is the main go-to person for anything Linear Algebra.

[seanflanigan]

What he said is portable as potentially portraiture of dancers in flying.

[wakari]

„Let me dive right into it…“ is at 11:16

[ebog]

the statement about algebra is so true

[barryzeeberg]

That is a very Strang[e] decomposition :)

[brockobama]

Are you telling me I should’ve learned this but didn’t? It’s very nice

[dilsydiltak]

Sir, will you make videos on the Applications of Linear Algebra...like Data Science field etc...

[tuongnguyen]

How to do this CR decomposition in Matlab ?

[eytansuchard]

Hi professor, 1) At first perform Gram Schmidt on the columns and throw away dependent columns which are mapped to 0 by the GS algorithm. The orthogonal vectors are then discarded after they did the job of throwing away the dependent columns. This process reaches the C matrix. 2) Derive the coefficient of the linear combination that yield the dependent columns. For some applications, taking the orthogonal columns in (1) and not throwing them away in favor of the original independent columns, may be more attractive, especially in Machine Learning.