Back to Mathematics for Machine Learning: Linear Algebra

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10,390 ratings

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2,078 reviews

In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems. Finally we look at how to use these to do fun things with datasets - like how to rotate images of faces and how to extract eigenvectors to look at how the Pagerank algorithm works.
Since we're aiming at data-driven applications, we'll be implementing some of these ideas in code, not just on pencil and paper. Towards the end of the course, you'll write code blocks and encounter Jupyter notebooks in Python, but don't worry, these will be quite short, focussed on the concepts, and will guide you through if you’ve not coded before.
At the end of this course you will have an intuitive understanding of vectors and matrices that will help you bridge the gap into linear algebra problems, and how to apply these concepts to machine learning....

EC

Sep 9, 2019

Excellent review of Linear Algebra even for those who have taken it at school. Handwriting of the first instructor wasn't always legible, but wasn't too bad. Second instructor's handwriting is better.

PL

Aug 25, 2018

Great way to learn about applied Linear Algebra. Should be fairly easy if you have any background with linear algebra, but looks at concepts through the scope of geometric application, which is fresh.

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By Adam R

•Nov 16, 2018

Some of the quizzes go beyond what is in the videos and often spent ages on them.

By Nicholas K

•Apr 20, 2018

Enough gaps that I finished feeling like I really had no idea what was going on.

By David R M

•Jul 13, 2020

Requires an understanding of python that doesn't seem to be expressed anywhere

By Jose C

•Dec 19, 2019

I did not see any specific application of what was learned to Machine Learning

By Tory M

•Sep 3, 2020

All in all this course served as a good refresher for linear algebra.

By Gary M F T

•Oct 29, 2020

Esta en el idioma inglés. Seria factibles en el idioma español

By Alejandro T R

•Aug 2, 2020

Really difficult to understand the explanations of the course.

By Ayala A

•Jul 25, 2020

The course is good but the explanations are not clear enough.

By Ninder J

•Jun 17, 2019

not well explained...Rather than this go for khan's academy

By rajiv k K

•Jul 21, 2019

Good for rivision but I will not recommend to beginner.

By Omri S

•Oct 25, 2019

Good, but a lot of stuff is not explained in detail

By สิทธิพร แ

•May 29, 2020

some lessons don't cover knowledge for assignment

By Flávio H P d O

•May 11, 2018

explanation not very clear

not enought examples

By Rosana J B

•Mar 1, 2021

muy confuso el sistema de envío de tareas

By Hiralal P

•May 4, 2020

they should provide more examples

By Neha K

•Oct 9, 2018

The style of teaching is great.

By Lieu Z H

•Jul 25, 2019

found the course too basic

By Jadhav J N J

•Mar 2, 2020

Good Teaching

By Rafael L A

•Jul 9, 2020

challenging

By Navya V

•Jul 18, 2020

good

By Fuad E

•May 22, 2019

It is a little messy: there are no clear definitions of Vector Space, Normed Vector Space, Euclidean Vector Space. Functions as COS and SIN are used to show basic concepts, orthogonal base, and so on. "Projection" concept always relies on base being orthogonal, projection being under 90 degree (what is 90 degree in vector space?), and space being Euclidean, although it is much simpler and applicable for just Vector Space (space without "norm" defined). Good introductory course for high-school; bad for University. Good for kids who just finished learning Pythagoras Theorem, SIN, COS, and basis of Euclidean geometry. Example of house (with number of rooms which is positive Integer number, and price which is positive Decimal) is not really a vector. Examples of non-Euclidean spaces and their applications in machine learning not provided (geometrical deep learning on graphs for example). Basic course for those completely unfamiliar with what "vector" is. Provided tests in Python are confusing because in the context we write vectors (and "base" vectors which matrix consists from) vertically, and in Python - horizontally. For example, [[1,2],[3,4]] is matrix, but it won't transform base vector [1,0] into [1,2]. This is confusing and should be mentioned before test begins.

Thank you for helping me to recall this knowledge. I finished three weeks; I may need to update review later.

By Mirian A

•Jul 23, 2020

Course: Definitely target for people that have solid understand of linear Algebra

Professor:

Pluses: Nice and clear voice, nice demeanor, good energy

Minuses: Long and sometimes messy samples presented on the board, not following through with the samples given (changing subjects causing confusion)

Area of improvement: It would make more interesting if would make connection with real life situation where we could make use of the classes. The instruction video made the class appealing because started with an example of a real life situation that could be resolved. It would be wonderful if full course would bring same excitement.

Exercises/Tests:

Pluses: Unfortunately there was no plus on the exercises. I hate to say that was all pretty bad.

Minus: They were confusing. A lot of time did not make connection with what was taught.

Area of improvement : Give explanation of the answers on the test itself and not referring back to the class. Resolving one to one exercise help making sense of the course being studied.

Course overall was not good. I am very glad I did not pay for this class. However I do think if the professor changes a few things he can nail this class same way he nailed the intro.

By Matthew L

•Apr 8, 2020

I am new to Coursera so I have no idea of what is standard on here. Maybe this course is good relative to other courses on here, I don't know. However I do know that based on my experience I can not recommend paying for a coursera membership to take this course. This course comes with a total of less than 3.5hrs of instructional video. Considering linear algebra is usually taught with ~45 hrs of classroom instruction, this may seem short.. and it is. The course does a good job at explaining things at a conceptual level however it has few worked through example problems. The course uses quizzes and programming assignments as a way of reinforcing skills that you learn however the correct answers to the questions on quizzes are never reviewed. So if you get something wrong you'll never know what you did wrong unless you figure it out for yourself. Also the forums don't seem to be useful at all. If you are lucky another student might reply.

By Hendrik V

•Jul 23, 2020

The time commitment is not realistic unless you are a math wiz and experienced programmer. Take the timelines and multiply it by at least 5. Videos do an excellent job of presenting theory and application, but there is no supplemental learning material. You can have to find all of that on your own. In general the other students in the course are lost and have no idea what is going on. I recommend that you watch the videos and follow up the subject on something like Khan Academy where you can work through multiple examples. As for the coding part you need to find someone that knows how to code math in python. Would not recommend.

By Oliverio J S J

•Apr 16, 2020

I don't think this is a good course. The explanatory videos are not bad and they are easily understood, but they seem to be a series of unrelated concepts, you wouldn't know why those concepts are explained and where the lecturers want to go. There were tasks that had a much higher level of complexity than the videos and other tasks that were trivial. As if that weren't enough, I had repeated problems due to text format in the questions, since it was difficult to distinguish the vectors and matrices.

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