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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
Join 2.9 million developers at
Join 2.9 million developers at
LEARNING OBJECTIVES
- Learning the intricate concepts of linear algebra from scratch
- Working knowledge of various linear algebra techniques using Python
- A visual understanding of concepts such as vector space, spans, and subspace with animations
- Familiarity with valuable concepts like fields, eigenspaces, diagonalization, and SVD
- An understanding of how linear algebra concepts build the most useful tools in data science, such as neural networks
- The ability to apply linear algebra concepts to real-world problems through coding exercises and practical projects
Learning Roadmap
2.
Linearity
Linearity
Get started with linear functions, linear combinations, and solving linear systems in data science.
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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Developed by MAANG Engineers
ABOUT THIS COURSE
Linear algebra is a fundamental pillar of data science. In advanced models in data science, like neural networks, the inputs and transformations are based upon vectors, matrices, and tensors which require a reasonable understanding of linear algebra to get the desired results. It is elegant and the most applied mathematics under the umbrella of data science.
This course teaches linear algebra with a focus on data science. This course encompasses several engaging illustrations, including static images and animations. Furthermore, this course presents mathematical modeling through programming in Python. This course contains several executable coding playgrounds on real data sets and a final project with practical applications.
Aside from theoretical implementations, the modern-day world needs its daunting calculations, trajectory mapping, and distance manipulation, all of which linear algebra provides. By the end of this course, you’ll have a working knowledge of all the necessary teachings in linear algebra.
ABOUT THE AUTHOR
Khayyam Hashmi
Computer scientist and Generative AI and Machine Learning specialist. VP of Technical Content @ educative.io.
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Anthony Walker
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Evan Dunbar
ML Engineer
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Software Developer
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Front-end Developer
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Vinay Krishnaiah
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