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Linear Algebra for Data Science Using Python

Gain insights into linear algebra essentials for data science, focusing on vectors, matrices, and tensors. Explore practical Python applications, engaging visuals, and hands-on projects.

4.7
67 Lessons
10h
Updated this week
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LEARNING OBJECTIVES
  • Apply linear algebra concepts such as vectors, matrices, and transformations to real-world data science problems using Python.
  • Implement functions and linear functions in Python, mapping numerical inputs to outputs relevant for data science tasks.
  • Analyze linear combinations and convex combinations, understanding their applications in data science and image processing.
  • Solve linear systems using Gaussian elimination and matrix operations, visualizing solutions in data science contexts.
  • Evaluate matrix properties including rank, determinants, and inverses, applying these concepts to data science workflows.
  • Develop regression models, including linear and polynomial regression, using Python to analyze and predict data outcomes.
KEY OUTCOMES
Ace Data Science Interviews

Demonstrate proficiency in linear algebra concepts and their applications in data science during technical interviews.

Implement Linear Models

Build and evaluate linear regression models using Python, applying least squares methods to real datasets.

Solve Complex Linear Systems

Confidently solve and interpret solutions for linear systems using Gaussian elimination and matrix operations in Python.

Optimize Neural Network Performance

Apply linear algebra techniques to enhance the performance of neural networks, ensuring effective model training and evaluation.

Learning Roadmap

67 Lessons1 Project9 Quizzes8 Challenges

3.

Matrices

Matrices

5 Lessons

5 Lessons

Master the steps to utilize matrices and perform matrix operations essential for data science.

4.

Solving Linear Systems

Solving Linear Systems

12 Lessons

12 Lessons

Grasp the fundamentals of solving linear systems, Gaussian elimination, and matrix rank.

5.

Singularity

Singularity

7 Lessons

7 Lessons

Map out the steps for working with matrices in data science using elementary transformations.

6.

Linear Regression and Least Squares

Linear Regression and Least Squares

11 Lessons

11 Lessons

Focus on linear and non-linear regression techniques, practical applications, multi-target regression, and neural networks.

7.

Vector Space

Vector Space

12 Lessons

12 Lessons

Build on vector properties, sets, fields, vector spaces, subspaces, and applications in data science.

8.

Vector Spaces of a Matrix

Vector Spaces of a Matrix

5 Lessons

5 Lessons

Step through vector spaces, null spaces, orthogonal complements, and eigenspaces in matrix algebra.

9.

Singular Value Decomposition: SVD

Singular Value Decomposition: SVD

3 Lessons

3 Lessons

Get started with orthogonal diagonalization and Singular Value Decomposition (SVD) for matrix factorization.
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Author NameLinear Algebra for DataScience Using Python
Developed by MAANG Engineers
ABOUT THIS COURSE
As data science and machine learning systems grow more complex, linear algebra for data science has become a foundational requirement rather than an optional theory. From neural networks to optimization, modern models rely on vectors, matrices, and transformations at every step. This course is designed to help you understand linear algebra for data science using Python in a way that connects directly to real-world applications. I built this course from my experience working with machine learning systems and teaching mathematical foundations to engineers. A consistent challenge I observed was that learners could use libraries, but lacked intuition for the underlying operations. This gap often limits their ability to debug models or reason about performance. This course addresses that by linking linear algebra concepts directly to data science workflows. You’ll explore vectors, matrices, and transformations through visual intuition and Python-based implementation. The course combines mathematical modeling with hands-on coding, using real datasets, interactive exercises, and a final project to reinforce concepts in practice. If you want to master linear algebra for data science using Python, this course provides a clear and practical path forward.
ABOUT THE AUTHOR

Khayyam Hashmi

Computer scientist and Generative AI and Machine Learning specialist. VP of Technical Content @ educative.io.

Learn more about Khayyam

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