Linear Algebra for AI - Generative AI - Agentic AI (Udemy.com)
Master Linear Algebra: Essential Math for AI , Data Science, Machine Learning, Deep Learning Applications , Agentic AI
Created by: Manifold AI Learning
Last updated January 2026
What you will learn
- Build Mathematical intuition required for Data Science and Machine Learning
- The linear algebra intuition required to become a Data Scientist
- How to take their Data Science career to the next level
- Hacks, tips & tricks for their Data Science career
- Implement Machine Learning Algorithms better
- Apply Linear Algebra in Data Analysis
- Learn core concept to Implement in Machine Learning
How it compares
Against the other 127 rated Udemy courses in Math on CourseDuck:
- Rating4.4 out of 5higher than 18% of them
- Reviews479#47 of 128 by number of reviews
- Length28.1 hourslonger than 84% of them
- Last updatedJanuary 2026more recently than 59% of them
Course Description
Master Linear Algebra for Data Science, Machine Learning, and Deep Learning - Unleash the Power of Mathematics in AI Applications
Are you eager to enhance your skills in Machine Learning, Deep Learning, and Data Science by mastering the crucial foundation of Linear Algebra? Look no further – this comprehensive course is designed just for you.
With the increasing demand for expertise in Machine Learning and Deep Learning, it's crucial to avoid the common mistake of relying solely on tools without a deep understanding of their underlying mathematical principles. This course is your key to developing a solid foundation in mathematics, providing you with a profound intuition of how algorithms work, their limitations, and the assumptions they rely on.
Why is a strong mathematical foundation important? Understanding the machinery under the hood is the key to becoming a confident practitioner in the fields of Machine Learning, Data Science, and Deep Learning. Linear Algebra is universally acknowledged as a fundamental starting point in the learning journey of these domains.
The basic elements of Linear Algebra – Vectors and Matrices – serve as the backbone for storing and processing data in various applications of Machine Learning, Data Science, and Artificial Intelligence. From basic operations to complex tasks involving massive datasets, Linear Algebra plays a pivotal role.
Even in advanced technologies like Deep Learning and Neural Networks, Matrices are employed to store inputs such as images and text, providing state-of-the-art solutions to complex problems.
Recognizing the paramount importance of Linear Algebra in a Data Science career, we have crafted a curriculum that ensures you build a strong intuition for the concepts without getting lost in complex mathematics.
By the end of this course, you will not only grasp the analytical aspects of Linear Algebra but also witness its practical implementation through Python. Additionally, you will gain insights into the functioning of the renowned Google PageRank Algorithm, utilizing the concepts learned throughout the course.
Here's what the course covers:
Vectors Basics
Vector Projections
Basis of Vectors
Matrices Basics
Matrix Transformations
Gaussian Elimination
Einstein Summation Convention
Eigen Problems
Google Page Rank Algorithm
SVD - Singular Value Decomposition
Pseudo Inverse
Matrix Decomposition
Solve Linear Regression using Matrix Methods
Linear Regression from Scratch
Linear Algebra in Natural Language Processing
Linear Algebra for Deep Learning
Linear Regression using PyTorch
Bonus: Python Basics & Python for Data Science
This hands-on course takes you on a step-by-step journey, providing the essential Linear Algebra skills required for Data Science, Machine Learning, Natural Language Processing, and Deep Learning. Enroll now and embark on your journey to master the mathematical foundations powering AI applications. Click the 'Enroll' button to start your learning experience – I look forward to seeing you in Lecture 1!
Instructor Details
- 4.4 Rating
479 Reviews
Manifold AI Learning
We help ML engineers level up from building demos to shipping production-grade agentic AI systems.
Background:
- 13+ years in software/ML engineering
- Built and debugged production agents serving millions of requests
- Reduced agent costs from $45k/month to $8k/month through systematic optimization
- Created the "Agentic AI Enterprise Bootcamp" for senior engineers
Teaching Philosophy: "Systems ship. Demos don't."
We teach the trade-offs, failure modes, and cost-aware thinking that separate senior engineers from junior ones. My courses focus on production realities—not just theory.
What Students Say: "
Nachiketh doesn't just teach patterns—he teaches when NOT to use them. That's the senior-level thinking I needed."
"Finally, an AI course that respects my experience. No fluff, just battle-tested frameworks."
Connect with us on LinkedIn and YouTube for weekly insights on shipping AI to production.
More courses by Manifold AI Learning
LLMOps Masterclass 2026 - Generative AI - MLOps - AIOps
4.4 (2,019 Reviews)
Provider: Udemy
Time: 16.6h
$10.99
Generative AI - Natural Language Processing Bootcamp 2026
4.3 (317 Reviews)
Provider: Udemy
Time: 23.1h
$11.99
Calculus -for Generative AI ,Data Science & Machine Learning (2026)
4.3 (282 Reviews)
Provider: Udemy
Time: 16.3h
$64.99
AWS Certified Machine Learning Specialty 2025 - Mastery
4.3 (230 Reviews)
Provider: Udemy
Time: 35h
$10.99
Universal Deep Learning Mastery - 2026 Edition with Updated
4.7 (87 Reviews)
Provider: Udemy
Time: 15.4h
$64.99
More Math courses
Differential Equations with the Math Sorcerer (2026)
4.9 (704 Reviews)
Provider: Udemy
Time: 11.6h
$10.99
Precalculus 2: Polynomials and rational functions (2026)
4.9 (207 Reviews)
Provider: Udemy
Time: 42.1h
$74.99
Reviews
By Jamie Russell on 7/17/2024
It’s early on but the course so far is pretty uninspiring. There’s plenty of YouTube videos out there which tell you the ‘what’. If you’re paying money I think you want the subject brought to life, make it interesting and cover topics thoroughly. Right now the subject is being thundered through with no real intent to help us learn. I bought this course on sale so not too upset but if I paid full price for it I would feel very short-changed.
By Eli Emanuel on 5/11/2021
The instructor has delivered the course not just by elucidating Linear Algebra ideas, concepts, and theorems but he also illustrated how Linear Algebra is used in Data Science and Machine Learning. This is IMHO one of the better courses for Linear Algebra applied in Data Science and Machine Learning
By Sangeeta on 4/6/2021
I liked the structure of the course, which starts from very basics, and covered all till SVD which is an important topic for PCA & other advanced stuff
By Steven Miller on 7/23/2020
This is exactly the information about matrix algebra that I wanted to know to augment the work I am doing in data science. I appreciate the concise explanations. I can't wait for the Google Pagerank Algorithm and beyond.
By karthik jakkala on 7/6/2019
This is great course on Linear Algebra, I like the mathematical derivations solved in this course. Great thanks for the course, please continue to add more courses. One request from my side is, speak little slow because in derivations explanation is too fast. Once again thank you ...
By Calum McBride on 1/23/2019
Glossing over concepts and accent very difficult to understand. Although I feel like both of these things aren't huge issues for me personally. I just have to try harder.
By Gustavo Moreno on 1/3/2019
He is very didactic and knowledgeable. I like that he doesn’t spend too much time explaining irrelevant stuff and the examples are based on data science.
By Maloy Quinn on 1/1/2019
This course is ideal to learn the mathematics behind data science.
By Sada Shivam on 12/18/2018
I am enjoying this course, learning new things. Instructor has made sincere effort in linking mathematical concepts of linear algebra to Data science. thank you
By Jai Kashyap on 12/17/2018
Good course, the way the topic is presented with real world application has helped me to learn more enjoyable. the content is definitely good, clear and excellent.
Quality Score
No CourseDuck member has rated this course yet. Taken it? Give each part a thumbs up or down.
Overall Score : 88 / 100











