Linear Algebra for Data Science Using Python

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

Course Objectives

Linearity

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

Matrices Matrix Multiplication

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

Solving Linear Systems

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

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

Vector Space

12 Lessons

Vector Spaces of a Matrix

5 Lessons

Singular Value Decomposition: SVD

3 Lessons

Learning to Find Discriminative Null Space for Face Recognition

Project

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Evan Dunbar

ML Engineer

Carlos Matias La Borde

Software Developer

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Front-end Developer

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Software Developer

Eric Downs

Musician/Entrepeneur

Kenan Eyvazov

DevOps Engineer

Anthony Walker

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Emma Bostian 🐞

@EmmaBostian

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