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Linear Algebra Math for AI - Artificial Intelligence

Master Linear Algebra for Data Science, Machine Learning, and Deep Learning - Unleash the Power of Mathematics in AI Applications

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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.

Enroll now

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Develops core mathematical principles that serve as a cornerstone for Data Science, Machine Learning, and Deep Learning applications, preparing learners for further study and application
Covers a broad range of Linear Algebra concepts and techniques, arming learners with a comprehensive understanding required for advanced AI applications
Provides Python implementation examples, fostering hands-on proficiency and practical understanding of mathematical concepts
Includes a bonus section on Python basics, providing a foundation for learners who may be new to Python or Data Science
May require prior foundational knowledge in mathematics, potentially creating a barrier for learners with no previous coursework or experience in the field
May be less suitable for individuals without a background in computing, as it delves into Python implementation and programming techniques

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Linear Algebra Math for AI - Artificial Intelligence with these activities:
Develop a Linear Algebra Cheat Sheet
Create a concise cheat sheet summarizing key linear algebra formulas and concepts.
Show steps
  • Identify and gather essential formulas and concepts.
  • Organize and present information in a clear and visually appealing format.
  • Review and revise the cheat sheet for accuracy and completeness.
Vector and Matrix Practice Problems
Practice solving basic vector and matrix problems to strengthen your foundation.
Show steps
  • Review fundamental concepts of vectors and matrices.
  • Solve a variety of practice problems involving vector operations, matrix operations, and linear equations.
Join a Linear Algebra Study Group
Engage in peer-to-peer learning by joining a study group focused on linear algebra.
Show steps
  • Find or create a study group.
  • Regularly meet to discuss concepts, work through problems, and support each other's understanding.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Learn Gaussian Elimination
Master Gaussian elimination by following guided tutorials to solve systems of linear equations.
Show steps
  • Watch video tutorials explaining the steps of Gaussian elimination.
  • Apply Gaussian elimination to solve systems of linear equations.
  • Practice using Gaussian elimination to solve complex systems of equations.
Build a Linear Algebra Function Library
Develop a comprehensive library of functions that implement linear algebra operations.
Browse courses on Linear Algebra
Show steps
  • Design and plan the structure of the library.
  • Implement core linear algebra functions, such as matrix multiplication, determinant calculation, and eigenvalue computation.
  • Test and debug the functions to ensure accuracy and efficiency.
  • Document the library for ease of use by others.
Review of 'Linear Algebra Done Right' by Axler
Deepen your understanding of linear algebra concepts by reviewing the influential textbook by Axler.
Show steps
  • Read selected chapters from 'Linear Algebra Done Right'.
  • Solve exercises and review proofs to reinforce concepts.
  • Discuss complex topics with peers or a mentor.
Analyze a Real-World Dataset using Linear Algebra
Apply linear algebra to analyze a real-world dataset to gain insights and solve problems.
Show steps
  • Identify and acquire a suitable dataset.
  • Clean and preprocess the data.
  • Apply linear algebra techniques, such as principal component analysis or regression analysis, to uncover patterns and make predictions.
  • Present the results and insights gained from the analysis.

Career center

Learners who complete Linear Algebra Math for AI - Artificial Intelligence will develop knowledge and skills that may be useful to these careers:
Data Scientist
Data Scientists are responsible for collecting, cleaning, and analyzing data to help businesses make informed decisions. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in data science. By taking this course, you will develop the skills you need to succeed as a Data Scientist.
Machine Learning Engineer
Machine Learning Engineers are responsible for developing and deploying machine learning models. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in machine learning. By taking this course, you will develop the skills you need to succeed as a Machine Learning Engineer.
Operations Research Analyst
Operations Research Analysts use mathematical and statistical models to improve the efficiency of operations. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in operations research. By taking this course, you will develop the skills you need to succeed as an Operations Research Analyst.
Statistician
Statisticians use mathematical and statistical models to analyze data. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in statistics. By taking this course, you will develop the skills you need to succeed as a Statistician.
Data Analyst
Data Analysts use mathematical and statistical models to analyze data. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in data analysis. By taking this course, you will develop the skills you need to succeed as a Data Analyst.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze financial data. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in quantitative finance. By taking this course, you will develop the skills you need to succeed as a Quantitative Analyst.
Actuary
Actuaries use mathematical and statistical models to assess risk. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in actuarial science. By taking this course, you will develop the skills you need to succeed as an Actuary.
Deep Learning Engineer
Deep Learning Engineers are responsible for developing and deploying deep learning models. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in deep learning. By taking this course, you will develop the skills you need to succeed as a Deep Learning Engineer.
Market Researcher
Market Researchers use mathematical and statistical models to analyze market data. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in market research. By taking this course, you will develop the skills you need to succeed as a Market Researcher.
Business Analyst
Business Analysts use mathematical and statistical models to analyze business data. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in business analysis. By taking this course, you will develop the skills you need to succeed as a Business Analyst.
Physicist
Physicists use mathematical and statistical models to analyze physical data. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in physics. By taking this course, you will develop the skills you need to succeed as a Physicist.
Computer Scientist
Computer Scientists use mathematical and statistical models to develop computer systems. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in computer science. By taking this course, you will develop the skills you need to succeed as a Computer Scientist.
Software Engineer
Software Engineers use mathematical and statistical models to develop software. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in software engineering. By taking this course, you will develop the skills you need to succeed as a Software Engineer.
Economist
Economists use mathematical and statistical models to analyze economic data. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in economics. By taking this course, you will develop the skills you need to succeed as an Economist.
Financial Analyst
Financial Analysts use mathematical and statistical models to analyze financial data. This course provides a strong foundation in Linear Algebra, which is essential for understanding the mathematical models and algorithms used in financial analysis. By taking this course, you will develop the skills you need to succeed as a Financial Analyst.

Reading list

We've selected 12 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Linear Algebra Math for AI - Artificial Intelligence.
Provides a comprehensive overview of linear algebra, covering topics such as vectors, matrices, transformations, and eigenvalues. It valuable reference for anyone seeking a deeper understanding of the subject.
Covers linear algebra and optimization techniques specifically tailored for machine learning applications. It includes topics such as regularization, support vector machines, and deep learning.
Serves as a textbook for a first course in linear algebra. It offers a clear and concise introduction to the subject, making it suitable for beginners.
Provides a comprehensive treatment of matrix methods, including numerical algorithms and applications in various fields. It valuable reference for researchers and practitioners.
Provides a hands-on approach to linear algebra, with a focus on applications in areas such as signal processing, computer graphics, and data analysis.
Covers numerical methods for solving linear algebra problems. It includes topics such as Gaussian elimination, QR factorization, and eigenvalue computation.
Offers a modern and practical approach to linear algebra. It includes numerous examples and applications, making it a valuable resource for students in various disciplines.
Focuses on the application of linear algebra in computational sciences and engineering. It includes topics such as finite element analysis, computational fluid dynamics, and image processing.
Provides an in-depth treatment of advanced topics in linear algebra, including multilinear algebra, tensor analysis, and representation theory.
Covers advanced topics in linear algebra, including matrix analysis, eigenvalues, and eigenvectors. It valuable reference for professionals in fields such as engineering, physics, and computer science.

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