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.

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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.

Linear Algebra for Data Science Using Python

The set $\{0, 1, 2, 3, 4, 5, 6\}$ is a finite field defined over mod?

The set <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">{</mo><mn>0</mn><mo separator="true">,</mo><mn>1</mn><mo separator="true">,</mo><mn>2</mn><mo separator="true">,</mo><mn>3</mn><mo separator="true">,</mo><mn>4</mn><mo separator="true">,</mo><mn>5</mn><mo separator="true">,</mo><mn>6</mn><mo stretchy="false">}</mo></mrow><annotation encoding="application/x-tex">\{0, 1, 2, 3, 4, 5, 6\}</annotation></semantics></math>{0,1,2,3,4,5,6} is a finite field defined over mod?

Vectors in a spanning set are linearly independent.

A spanning set spans a vector space by linear combinations.

Which statement is true about a spanning set?


Which statement is true about a spanning set?

A vector is an object for which $+$ and $\times$ are defined.

Vectors are a generalization of scalars.


Vectors are only represented as lines with an arrow.


(Select all that apply.) Which statements are true about a vector? 


(Select all that apply.) Which statements are true about a vector?

A classification model inherits from a regression model.

A regression model inherits from a classification model.

Regression and classification models are entirely different models.

Regression is classification when we have more than one target.

Multiple-choice questions

Multiple-choice questions

Test your understanding of the concepts learned so far.

Introduction

Linearity

Matrices

Solving Linear Systems

Singularity

Linear Regression and Least Squares

Vector Space

Vector Spaces of a Matrix

Singular Value Decomposition: SVD

Learning to Find Discriminative Null Space for Face Recognition

Quiz: Vector Space, Span, and Basis