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, real datasets, and hands-on projects.

Beginner

67 Lessons

10h

Certificate of Completion

AI-POWERED

Explanations

AI-POWERED

Explanations

This course includes

1 Project

170 Playgrounds

8 Challenges

9 Quizzes

This course includes

1 Project

170 Playgrounds

8 Challenges

9 Quizzes

Course Overview

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 a...Show More

What You'll Learn

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

What You'll Learn

Learning the intricate concepts of linear algebra from scratch

Course Content

Introduction

Get familiar with linear algebra applications in data science using Python.

Course Objectives

Linearity

Get started with linear functions, linear combinations, and solving linear systems in data science.

Functions Functions in Data Science Linear Functions Linear Combinations Quiz: Linear Functions and Combinations Challenge: Linear Combination Checker

Convex Combinations Linear Independence Linear Systems Quiz: Convex Combinations and Linear Independence Challenge: Linear System Solver

Matrices

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

Matrices Matrix Multiplication

Matrix Operations Quiz: Matrices and Matrix Operations Challenge: Matrix Multiplier

Solving Linear Systems

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

Solution Preserving Operations Echelon Matrices Gaussian Elimination Gaussian Elimination Using Python Solution Set of a Linear System

Geometric Interpretation of Inconsistency Verifying Linear Independence Rank of a Matrix Challenge: Check Linear Independence Solution Set and Rank Quiz: Linear Systems Challenge: Calculate the Largest Independent Subset

Singularity

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

Elementary Matrices Inverse of a Square Matrix Determinant of a Matrix Determinant by Pivots: A Python Algorithm

Inverse of a Rectangular Matrix Quiz: Elementary and Invertible Matrix Challenge: Lower-upper Decomposition Algorithm

Linear Regression and Least Squares

11 Lessons

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

Vector Space

12 Lessons

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

Vector Spaces of a Matrix

5 Lessons

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

Singular Value Decomposition: SVD

3 Lessons

Get started with orthogonal diagonalization and Singular Value Decomposition (SVD) for matrix factorization.

Learning to Find Discriminative Null Space for Face Recognition

Project

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Anthony Walker

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Emma Bostian 🐞

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Evan Dunbar

ML Engineer

Carlos Matias La Borde

Software Developer

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Front-end Developer

Vinay Krishnaiah

Software Developer

Eric Downs

Musician/Entrepeneur

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DevOps Engineer

Anthony Walker

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Emma Bostian 🐞

@EmmaBostian

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