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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

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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

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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!

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Instructor Details

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.


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Reviews

4.4

479 ratings on Udemy

Select a bar to show only those reviews.Select the bar again to show every rating.

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.

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Overall Score : 88 / 100