MIT 18.06 Linear Algebra Spring 2005
Course Highlights
This course features a complete set of video lectures by Professor Gilbert Strang. There are also Java applets with sound as well as interactive Java applets. The text for this class is Introduction to Linear Algebra by Gilbert Strang.
Course Description
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
Course Homepage 18.06 Linear Algebra Spring 2005
Course features at MIT OpenCourseWare page:
- Syllabus
- Calendar
- Readings
- Assignment
- Exams
- Tools
- Study Materials
- Related Resources
- Download Course Materials
Complete MIT OCW video collection at MIT OpenCourseWare - VideoLectures.NET
Unit I: Ax = b and the Four Subspaces | ||||
Unit II: Least Squares, Determinants and Eigenvalues | ||||
Unit III: Positive Definite Matrices and Applications | ||||
Final Course Review | ||||












I'm italian quantum chemist and I'm very happy, because with this lecture I can recross a lot of things. Thanks.
i'm a filipino and i'm planning to go back to college this semester so i can finish my elctronics and communications engineering . i was hoping that thru this open courseware i'l be able to review an almost a decade backlog of study. is there a way to download a single file compilation of these lectures? thanks
yes, go to ocw.mit.edu, this site offers download for each video
I can watch this just to recall learnings from college (one of my math professors was from MIT). Its just like having a math professor at home, anytime I want. Thanks
please to inform with respect to video readings to me into english to grammar Gracias.
Wow. I am so impressed. The undergraduate education at MIT is is incredible. I am determined to apply to MIT for my grad school. This professor is the real deal- I see so much passion in Prof. Strang.
just perfect~~MIT is a heaven for scientific and mathematical study. i will try to go through all the video courses on this website.
Thanks!
It is adorable to see MIT opening the courses to the public. I am a 21 year old Iranian student and I find everything here in great explanations and by following my own syllabuses I get to learn the most I can. Thanks to MIT and All the lecturers. God Bless You
Dear Professor Strang,
thank you for those great lectures! your lecture helped me to get a better understanding of the svd.
best regards
Daniel
This guy is awesome, i have seen all the videos ....looks like 10 years down the line people will not sign up for full time courses ...thanks MIT
Thanks to MIT. This is just what I wanted. I wish I had a professor like Prof Strang
Thanks to MIT. Really It is wonderful lectures and wonderful lecturers.
HAPPY NEW YEAR everybody!
It is really very good to have such open lectures, from best
professors for the better america and as well for the better world.
I had took this course before, but you give it a life to it.
thank you.
THE THOROUGH VIEW TO MATHEMATICS, EXCILLENT.
THIS WILL GIVE A LOT ABOUT MATHS TO MY STUDENTS...............
THANK YOU,FOR ALL SUCH BEAUTIFUL STUFF.
Very good, it is so important for me to teach and learning, Thank you very much. When i find these materials, i feel very very happy. Thanks again, it is really helpful for me.
Thanks a million MIT is the best!
This is amazing! MIT rocks!
Dear Professor Strang,
thank you very much for those lectures! I have enjoyed them greatly. And you made me fan of Liner Algebra instead of Calculus...
best regards
I'm Chinese-American Computer Scientist. In fact, I started out as an Mathematics major and then switched to Computational mathematics. I love math.
I'm extremely exciting about finding this material, because it is the best Liner Algebra course I ever take. I appreciate its beauty. Sometimes I got so exciting that I explained it to my mother on Labor day.
Thanks Gilbert, Live Long and Healthy.
Thanks a LOT Gilbert for this material. For me also it's probably the most interesting, the most exiting, the most pedagogical and full of conceptual ideas course in linear algebra I've ever listen. Every professor should listen what teaching mean by looking at your lessons.
Thanks again a lot
Warm Regards
Gianfranco
PS: why so few courses like this online...
Thank Professor Strang...You r really doing a gr8 job. Thank you .
I'm a brazilian student of engineering from UFMG. I'm very glad and thankfull for the OCW. This way, I can learning things related to my course and improoving my english at the same time. Sorry if I commited any mistake. Thanks Mr Strang.
As a foreign student graduated years ago and wants to go back to school, the OCW is a wonderful site for me. I could learn freely after work, download to my computer, do the reading at the same time watching the video and improve English as well! Thanks Dr. Strang! Your class is gorgeous and it's easy to understand the complex conceptions!
I am planning to pursue my research in image processing, when I was looking for some materials to refresh the basic concepts of linear algebra, I came across this lecture series.... wow, excellent. Prof. Strang is great, the way he simplifies the complex concepts... Hats off to him...
I'm an Iranian civil engineer and I love math.In fact, I started out as desighner but now I'm very interested in math that I am going to study math. it is the best course I ever seen. I appreciate its beauty. Sometimes I got so exciting that I explained it to my son.
Thanks prof. Gilbert, Live Long and Healthy.
Oh.......! Mr. Strang your lectures are really great.......!!!!!
I spent a lot of time to finish this lectures. It is really great to burn my time by looking his lectures.
It is so great that it helps me better understand linear algebra, and even mathematics. Thanks, Prof. Strang.
I am very happy.this teacher is very good.since I lisen to his courses ,I gain more form liner Algebra.Thankes for MIT,thankes for Professor Strang.
Prof.Strang & MIT the world is in-debt to you & America.
Masha Allah :-)
MUCHAS GRACIAS POR SUS CURSOS DEL MIT OCW ME HAN AYUDADO MUCHO PARA REFORZAR MIS CONOCMIENTOS DE FÍSICA Y MATEMÁTICAS, GRAN ENSEÑANZA DEL DR. LEWIN FELICIDADES A TODOS.
I am from Kazakhstan and i very happy that i can meet MIT lecture, thank you very much!!!
I am Kenyan living in South Africa and studying at UNISA BSC Computer Science (long distance). These videos are God-Sent! They fill in gaps in my self study and more importantly I can have my 'class' on the train on my way to work! MiT ROCKS!
I saw this and it made me fall in love with maths all over again. He is simply amazing. Got the textbook. So amazing and lucid. It makes me feel its not these people (MIT scholars) are very different, its just that they view things in such clear uncomplicated way. Thank you very much. Please have more such video lectures for other courses too. Its for the greater good and enhancement of knowledge and ultimately mankind.....
I am from Pakistan and these lectures have flawed my previous understandings about linear algebra. Being a good mathematician hated LA due to absurd concepts from alot of absurd sources...but an interesting person makes everything interesting.....and today i feel like a expert in LA..
Thanks to Prof.Gilbert...You have made all my complications go away.
I am from Indonesia, and still an undergrad student.
All i want to say is a gratitude.
Thanks God I found your lecture, it helps me a lot understanding the beauty of linear algebra.
Every lecturer of math should sees your way of teaching!
Splendid
thanks a lot to MIT for letting the whole world to see this magnificent lectures, grettings from Argentina
I am very impressed with his teaching basically i am a game programmer and i am weak in linear algebra and game developement involves equations by seeing this video tutorial i learned many things.The good thing about strang is the way he teaches he goes in depth of each concept and when he teaches he puts a question and tells practical example that makes me understand solution better.strang you r awesome every professor cant teach like this.Many professor till now i had seen they just tell how to use the formulae but no one tells how it comes thats where you stand and thats the reason i like your teaching.
I'm from Myanmar, second year (mechatronics,AIT). Thanks a lot Professor Strang.
Thanks a lot. good work :)
a very conceptual ideas are given by prof. gilbert. The best thing is that,pronounciation is very good. Even indians can also grasp his english very easily. Its like a interesting movie.
this is a great oppurtunity to recross a lot of things learnt and many things that are missed. The style of lecture is great that am never lost in the mid.