Linear Algebra Crash Course - Mathematics for Machine Learning and Generative AI [Full 7h]
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- Опубліковано 3 чер 2024
- Unlock the power of linear algebra in this comprehensive 7-hour masterclass, essential for anyone aspiring to excel in AI, data science, and cutting-edge technologies. Dive deep into the core concepts and applications of linear algebra that are pivotal for mastering the mathematical foundations required in high-tech fields today.
If you want to learn complete - one semester equivalent Linear Algebra course check out
our comprehensive "Fundamentals to Linear Algebra 26+h course" as part of our LunarTech Unlimited Access plan, which will give you access to not just this but also other courses like Machine Learning, Data Science, and Deep Learning courses.
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🔢🧠 Master the Math Behind Data Science and AI in 2024
This comprehensive roadmap introduces linear algebra concepts and techniques essential for building cutting-edge machine learning models.
Key Features:
📈 Structured Learning: Progress from foundational concepts to advanced techniques, including metric factorization and projections.
🚀 Practical Focus: Understand how linear algebra powers algorithms used in data science, AI, and generative AI.
🔮 2024 Relevance: Stay ahead of the curve with a roadmap tailored to the latest developments in the field.
Ideal For:
💡 Aspiring data scientists and AI professionals
💪 Anyone seeking to strengthen their grasp of the math behind machine learning
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- Fundamentals to Machine Learning Course: bit.ly/lunartech-signup
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👤 Meet Your Instructor: Tatev Aslanyan
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🔔 Connect with Us:
LunarTech on LinkedIn: / lunartechai
Tatev Aslanyan: / tatev-karen-aslanyan
Vahe Aslanyan: / vahe-aslanyan
[00:00:00] - Introduction to the course
[00:08:30] - Linear Algebra Roadmap for 2024
[00:27:50] - Course Prerequisites
[00:28:05] - Refreshment: Real Numbers and Vector Spaces
[00:31:18] - Refreshment: Norms and Euclidean Distance
[00:41:13] - Why These Prerequisites Matter
[00:45:00] - Foundations of Vectors
[00:50:00] - Vector - Geometric Representation Example
[01:15:51] - Special Vectors
[01:28:01] - Vector Application Example
[01:40:25] - Vectors Operations and Properties
[02:24:14] - Scalar Multiplication Application Example
[02:31:14] - Scaling Multiplication - Geometric Intuition
[02:39:31] - Dot Product, Geometric Interpretation, Examples
[03:06:00] - Understanding Dot Product and Similarity Measure
[03:24:00] - Cauchy Schwarz Inequality - Derivation & Proof
[03:37:00] - Introduction to Linear Systems and Matrices
[04:10:02] - Core Matrix Operations
[05:18:41] - Solving Linear Systems - Gaussian Elimination
[05:23:00] - Detailed Example - Solving Linear Systems
[05:45:46] - Detailed Example - Reduced Row Echelon Form (Augmented Matrix, REF, RREF)
#LinearAlgebra #LinearAlgebraCrashCourse #LinearAlgebraMasterclass #AIandDataScience #MathForTech #VectorMath #MatrixOperations #STEMEducation #TechInnovation2023 #FutureOfDataScience #MathematicalFoundations #AdvancedMathematics - Наука та технологія
Thank you for this..... After failing Maths in the 1970s, channels like yours have helped me to "have a go"-not for a career but to prevent cognitive decline. I may not understand it all, but that's okay; for me, just trying is important.
That’s really amazing to hear Tx!
I have failed too back in 2015, specifically in Calculus, and it caused me to even change Major. I returned 7 years later with Calculus again back in college and back in my previous Major, not understanding a single bit. I can tell you that on the first lecture, if you said something in Chinese to me, I'd manage to pick something up, but from what the professor said, I wouldn't. I strongly believed that there is not a single chance I'd pass that course. Long story short, after hard work and dedication and believing in myself, I ended with an A+. Mathematics are for everyone, all you need to do is sit down and solve some exercises yourself, make some mistakes, re-think it, see the solution if you can't manage it, cover it and re-try yourself again. Over and over and over. Understanding mathematics of any level needs nothing more, nothing less. Keep up the good work sir.
thank you for sharing!
Thank you very much for this crash course!
If I had a mathemtics teacher like that , I would love to do the class , even on Sunday.
wow, THANK YOU 😀
Great video.
Excellent class. Great course.
Thank you for your feedback 🙌🏻 Mario
That's what I was looking for, thank you.
Mersi Tatev jan
Best!
Thank you for sharing. Great content.
Thank you for your feedback ❤️
great!!
Lovely tutorial, It would be even more interesting if the tutor was actually showing on the side of the video the whole time, So to make things more interactive. 😇
all love and support ,madam♥
Thank you 🙌🏻
Do we have something similar for Calculus , Statistics for probability....?
Hi Kum, We do - please check academy.lunartech.ai/product/fundamentals-to-statistics
Make videos on other mathematics topics like probability,statistics and calculas❤
We so have quite a lot of Statistics courses at LunarTech.ai in LunarTech Academy - please check it out!
I m stupid in the math, but your courses motivated me to learn it ☺️.
Great to hear you find our courses motivating Denis!
@@LunarTech_ai the material is explained quite simply, I hope you add as many courses as possible, they are very well structured and help you understand mathematics better than how they teach in school
@@deniscozma2207 thank you very much and we are definitely working on it Denis👏🏻❤️
👍
❤❤❤❤❤
Thank you for the great course. If you do not mind a suggestion, try to improve your penmanship, which is frankly atrocious. Keep up the goof work!
I am interested in meeting such professors......but not lucky yet to meet them....leave a contact or email for more communications....
💖🌹
Amazing course , this took me 20 years back when i was a university student in engineering faculty .
i have a question , i'm 41 years old , and i want to study Data science , do you think it is too late for me ? i just felt in love with this field and i believe i can do it , what do you think ? thank you
Thank you 🙏🏻 and of course, it’s never later to start with Data Science - with Data Engineering background and motivation to learn Math and Data Science you can absolutely do it! We would be happy to help as well. Best of luck
Old people can't learn?
@@ladyville3 Ofcourse they can ☺️
Great course but too much repetition.
Hi Zebulun. Thank you for feedback, can you please clarify what you mean by repetition
@@LunarTech_ai You repeat previously covered material when all you need to do is say, in the last topic we found that …. eg Euclidean Distance was defined as .. Now a Dot product of itself is similar because .. Explain that in effect we are R2 without the square root. Done. No need to keep on. Concise is what you want. Not ad nauseum…
I would also suggest you use a better whiteboard as some symbols you write aren’t clear (eg = looks like a 2). Also keep consistent colours. Red for underlining, Blue for examples, Green for Definitions, etc. Put double boxes around definitions or derived formulas that are important.
@@pentachronic thank you for taking the time for all the comments and suggestion!
@@LunarTech_ai You’re welcome. Great content and subject material BTW. I hope it helps you become more efficient with your time and explanations.
the first 30 mins are wasting everybodys time coz if they know what you are talking about they don't need to learn
Thanks for your feedback Aden. The first 30 min is intended to provide the RoadMap on what they must learn from Linear Algebra in general, we learned that this works the best for students.
This course doesn’t covers everything from RoadMap but just small portion, yet we want to provide this knowledge to you all.
@@LunarTech_ai All that is needed is an Index and a brief description of the topics at hand. The material will unfold as you discuss it. You can then have a summary at the END of the coarse, not the BEGINNING.
She si so beautiful I cant really concetrate on topic :P
But u r trash😢
@@SDRicky Why you have said that?
@@beloaded3736 because her face reminds me the beauty of full moon
in india we learn this in 11th and 12th standard
And they teach personal hygiene only after you graduate! 😅😅😅😅😅
@@ahafeel wild😭
@@ahafeel Age 24??!!😂😅😅
P@jeet spotted
It's like doing kindergarten work in IEP class in high school