Back to Mathematics for Machine Learning: Linear Algebra

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9,825 ratings

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1,976 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....

NS

Dec 22, 2018

Professors teaches in so much friendly manner. This is beginner level course. Don't expect you will dive deep inside the Linear Algebra. But the foundation will become solid if you attend this course.

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.

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By Dan L

•Sep 29, 2019

I actually studied Maths at undergrad and was using this as a catchup after many years - it wasn't taught nearly anywhere near as well as this. More lecturers should focus on the concepts first, and then the formulae to give context. A great course, highly recommended!

By Anubhab G

•Jun 6, 2018

Well-paced, engaging and highly interesting course content. This course totally gives a new dimension to linear algebra. The fact that mathematical examples are implemented through programming exercises, really strengthens the concepts and makes it even more interesting.

By Maged F Y A

•May 1, 2018

I would like to thank the instructors for their exceptional work. They are teaching mathematics with the aid of visualizations, which is not common within ordinary math classes. This way assists students to understand the physical interpretation of mathematical concepts.

By Phuong A V

•Jul 23, 2020

It is quite hard course, especially coding.

the practice tests are very useful. Every test provides description which is very useful to review the lecture. Tests are challenging but if we make effort and invest time to think, read the instruction carefully, we can pass.

By Henry N

•Apr 5, 2020

Lectures are well-paced (although I was familiar with basics of working with vectors and matrices from high school mathematics). The assignments and quizzes were pitched at the right difficulty, just hard enough to be a challenge but not so hard as to be disheartening.

By Pritam C

•Sep 19, 2020

Eigenvalue &Eigenvector, Matrix & Inverse Matrix, The Gram–Schmidt process, Page RanK.

I was weak in maths and my background was not that strong, But I learned here how to tackle with

wonderful lecture tutorials

I want to apply ML in my research in electric power system

By Dariusz P G

•Mar 10, 2019

What an excellent lecturer.

I just wish that my mathematics teacher at school had had a tenth of the ability to impart knowledge.

This is a fantastic course and I will be doing the specialization later when I get some free time.

Thank you for a fantastic course.

Dariusz

By Deleted A

•Oct 23, 2020

It feels a bit intimidating at first!

Then you realize that it was a while ago since you needed this part of the brain.

Things might seem simple in some videos, but trust me it pays off in the end!

The last part of this specialisation requires you to be on your toes!

By Diogo J A P

•Jul 22, 2019

This is an awesome course! You probably were like me, with a foundation in maths shaky due to poor understanding of the underlying principles. This course re-centers math around intuition, making it much easier to understand and apply the concepts with confidence.

By Andi S R

•Dec 23, 2019

I really like the approach of this course: build the intuition of the core concepts with an easy language and loads of examples. This has helped me a lot to understand finally the eigenvector and eigenvalues, for example. I strongly recommend to take this course.

By Prateek S

•Jun 25, 2020

This was one of the best courses I have ever had. The courses structure was awesome and the instructors were very clear with what they were teaching. The assignments were good. Anyone with a fair understanding of high school algebra should be able to understand.

By AKSHAY K

•May 17, 2021

Although we have learnt these topics way back in our high schools but here I get the real graphical and applicational understanding of the linear algebra. Now I can visualise thing that how it gonna work so it will definately open new doors to research for me.

By Muhammad Y A

•Sep 5, 2020

It's been really fun, It broadens my view about linear algebra and its relation with machine learning. It also helped me a lot to understand the topic which was in my college course. My favorite part was the Gaussian elimination and the Gram-Schmidt Process.

By SINGH S

•May 24, 2020

I would like to say that this was one of the best courses that I've learned online during these difficult times of COVID-19 Pandemic. the teachers professor David Dye and Professor Samuel J Cooper were very friendly in teaching , all my concepts got cleared.

By Sol S

•Apr 17, 2021

A really great course for building foundational intuition around linear algebra. Great for data folks who are used to applying libraries (e.g. scikit-learn, numpy, scipy), but want to gain a deeper understanding of what the methods are doing under the hood.

By Juan M E

•Sep 6, 2020

Superb course! One of the best I have taken. I already knew linear algebra, but you always find rich tips and different ways of understanding the main topics. Congratulations to both professors. It is quite visible the passion they have and try to share it.

By Anna U

•Jan 14, 2020

An excellently simple explanation of concepts of linear algebra. Applause for lector. I really liked this course and found it very useful for those newbies in machine learning like myself. I recommend this course to all my friends and others interested in.

By PRANAD W

•Jul 1, 2020

This course has an amazing way of teaching. So u understand the concepts of mathematics that was seeming harder to me before i applied for this course. If you are beginner at Machine learning and worried about mathematics you must go through this course.

By Rishabh T

•Aug 6, 2020

This is one of the best courses I have seen in coursera. The material was good and instructors were excellent. The subject and topics were explained in a very simple and interesting manner making it very easy to understand and also fun at the same time.

By Rahul R

•Jun 13, 2020

I highly recommend this course to anyone who wants to build a general understanding of linear algebra and its real-world application. Both the instructors are highly capable of communicating the intuition behind every steps and algorithm to the viewers.

By DASGAONKAR Y N

•Jul 12, 2020

This was one of the best courses for linear algebra for a working professionals, students and researchers who want to brush up their skills as this course is very different from the regular book stuff.It was more practical with real world assignments.

By Loc N

•Jan 9, 2020

Awesome course! Entertaining and digestible, with great assignments despite some hiccups in file organization and a slight lack of response from admins (understandable because the course is old). It was so awesome that I had to go and tweet the profs.

By Lorenzo

•Sep 27, 2019

it's a very well structured and well taught course. The lecturers have the ability to keep the students interested in the subject and the various exercises at the end of each session are a very good way to find out where extra work/research is needed.

By Volodymyr C

•Jan 27, 2019

Clearly explained and key equations are derived with good step sizes. Quizzes and assignments are challenging (which is good!) and have high expectations for learners (which is really good for my motivation). Overall, I am really enjoying this course.

By Ion S

•Jun 3, 2021

This course was perfect except for the last assignment. It took on average over double the time to complete (including for me), and I died multiple times :). Other than that the course helped me a lot with my understanding about matrices and vectors!

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