Diagonalizing a Matrix

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
Instructor: Gilbert Strang

A matrix can be diagonalized if it has n independent eigenvectors. The diagonal matrix Λ is the eigenvalue matrix.

License: Creative Commons BY-NC-SA

[JordanEdmundsEECS]

You have no idea how incredibly helpful those short little pauses to backtrack a little and clear things up are. Thank you.

[abdurrezzakefe]

Prof Strang is the best in Linear Algebra.

[musikmakerfan]

MIT is lucky to have such a great lecturer.

[kunraiyan]

gotta appreciate how he said "I did that without preparing you for it", that was so humble.

[jasonmarckx]

I"m in my first linear algebra course and am in awe of how immensely powerful this branch of mathematics is. MIT is fortunate to have a superb math teacher like Prof. Strang.

[georgesadler]

These mathematical tools are very important in science and engineering. Dr. Strang is an incredible human being for linear algebra.

[tripp]

1.5x speed + Gilbert Strang = happiness

[musicalwanderings]

Thank you MIT OCW! Prof. Strang is the ultimate contributor to education! Thank you!!

[tusharadevi]

I just love Prof.Dr.Strang's passion for teaching. He is such an amazing teacher.
Having searched a lot of places to get an intuition about how different or same are eigen value decomposition and diagonalization of a matrix, voila, found all in one place. So glad to be learning concepts directly from a great mathematician like him.

[adityagaykar]

Prof Gilbert Strang, thank you for the explanation. I bow to you _/\_

[aarifhussain]

A Life time asset ❤ priceless gift by The sir Gilbert Strang

[donotwantahandle]

Came here to learn why diagonalizing a Hamiltonian is important and learnt from a real teacher!

[malikialgeriankabyleswag]

So the column space of A or "transformed space by A" is the span of its eigenvectors! This makes sense of so many things you're the best Linear Algebra guy ever you legend

[TheAllen]

Much better than my prof who always tries to explain some very simple concepts in the most complicated fancy way so that it might make him look more qualified. The best prof should explain complicated concepts in the easiest and most comprehensible manner as possible

[siddharthsingi]

This still remains to be the best video explaining this stuff!

[meetghelani]

what an absolute joy of sitting through a course taught by prof. strang.

[MsAlarman]

You are just a genius Gilbert! This is why you teach at MIT and wants to throw light on the shadows of ignorance in education round the globe. I am in bliss Sweet Angel!

[laurawitt]

I wish the professors at my university were this easy to understand!

[alexandrefelicio]

THE BEST AND MOST PASSIONATE CLASSES I HAVE EVER WATCHED ON THE TOPIC

[pubgplayer]

Amazingly succinct and powerful - so much important stuff in just 10 minutes. Thanks prof strang.