linearalgebra.tar.gz

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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

Which relationship between row space and column space needs to be true for a matrix to be invertible and symmetric?

Which relationship between row space and column space needs to be true for a matrix to be invertible and symmetric?

Which isn’t true regarding a null space?


Which isn’t true regarding a null space?

The number of columns minus the rank, that is,  $n-r(A)$

(Select all that apply.) What does the nullity of a matrix equal?


(Select all that apply.) What does the nullity of a matrix equal?

(Select all that apply.) Which options have _nullity_ equal to $0$? 

(Select all that apply.) Which options have nullity equal to <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0</mn></mrow><annotation encoding="application/x-tex">0</annotation></semantics></math>0?

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: Null Space and Orthogonal Space