Udemy – Beginner – Expert Linear Algebra, with Practice in Python. 2023-3

Apr 18, 2025 - 18:01

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Beginner – Expert Linear Algebra with Practice in Python Course. This course explores the core concepts of linear algebra and how to use them to solve real-world problems. We will cover the core topics of linear algebra such as matrices, vectors, and vector spaces. If you are interested in learning the mathematical concepts in linear algebra, but also want to apply these concepts to data science, statistics, finance, engineering, etc., then this course is for you! We will explain all the mathematical concepts in detail and also implement them programmatically in Python. We strongly emphasize feedback. Please ask as many questions as possible! Let’s make this course as interactive as possible so that we still get the classroom experience.

What you will learn in the Beginner – Expert Linear Algebra with Practice in Python course.

Understanding matrix algebra and its application in solving linear equations and transformations, with practical examples in Python.
Mastery of vectors, properties of vectors, vector spaces, subspaces and their application in coordinate systems. Fundamental subspaces and how to calculate them.
Mastery of orthogonal vectors, orthogonal normals, and orthogonal images. Then, calculation of minimum distances and Gram-Schmidt orthogonalization.
Matrix decompositions such as eigen, Cholesky, and singular value decomposition. Mastery of diagonalization, full-rank approximation, and low-rank approximation.
Matrix inverse, least squares and normal equation. Linear regression and Kaggle Home Forecasting Exercise.
Explain and derive Principal Component Analysis (PCA) from scratch and apply it to face recognition using the Featured Faces algorithm.

This course is suitable for people who:

Computer scientists, who want to gain a solid foundation in linear algebra and apply it to solving computer-related problems.
Data scientists and machine learning professionals or learners who want to gain a solid foundation in linear algebra and apply it to solving problems in data science and machine learning.
Math students who want to gain a solid foundation in linear algebra and apply it to their math courses.
Financial professionals who want to gain a solid foundation in linear algebra and apply it to solving real-world problems.
Engineers and engineering students who want to gain a solid foundation in linear algebra and use it to solve engineering-related problems.