Newly updated for 2024! Mathematics for Machine Learning and Data Science is a foundational online program created by DeepLearning.AI and taught by Luis Serrano. In machine learning, you apply math concepts through programming. And so, in this specialization, you’ll apply the math concepts you learn using Python programming in hands-on lab exercises. As a learner in this program, you'll need basic to intermediate Python programming skills to be successful.

# Linear Algebra for Machine Learning and Data Science

This course is part of Mathematics for Machine Learning and Data Science Specialization

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## What you'll learn

Represent data as vectors and matrices and identify their properties using concepts of singularity, rank, and linear independence

Apply common vector and matrix algebra operations like dot product, inverse, and determinants

Express certain types of matrix operations as linear transformation, and apply concepts of eigenvalues and eigenvectors to machine learning problems

## Skills you'll gain

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9 quizzes

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## There are 4 modules in this course

Matrices are commonly used in machine learning and data science to represent data and its transformations. In this week, you will learn how matrices naturally arise from systems of equations and how certain matrix properties can be thought in terms of operations on system of equations.

#### What's included

14 videos8 readings3 quizzes1 app item2 ungraded labs

In this week, you will learn how to solve a system of linear equations using the elimination method and the row echelon form. You will also learn about an important property of a matrix: the rank. The concept of the rank of a matrix is useful in computer vision for compressing images.

#### What's included

12 videos5 readings2 quizzes1 programming assignment1 ungraded lab

An individual instance (observation) of data is typically represented as a vector in machine learning. In this week, you will learn about properties and operations of vectors. You will also learn about linear transformations, matrix inverse, and one of the most important operations on matrices: the matrix multiplication. You will see how matrix multiplication naturally arises from composition of linear transformations. Finally, you will learn how to apply some of the properties of matrices and vectors that you have learned so far to neural networks.

#### What's included

14 videos3 readings2 quizzes1 programming assignment3 ungraded labs

In this final week, you will take a deeper look at determinants. You will learn how determinants can be geometrically interpreted as an area and how to calculate determinant of product and inverse of matrices. We conclude this course with eigenvalues and eigenvectors. Eigenvectors are used in dimensionality reduction in machine learning. You will see how eigenvectors naturally follow from the concept of eigenbases.

#### What's included

20 videos7 readings2 quizzes1 programming assignment1 ungraded lab

### Instructor

### Offered by

### Recommended if you're interested in Algorithms

DeepLearning.AI

DeepLearning.AI

DeepLearning.AI

Imperial College London

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## Frequently asked questions

This is a beginner-friendly course, aiming to teach the concepts covered with minimal background knowledge necessary. If you're familiar with the concepts of linear algebra, you'll find this course a good review for the next course in the specialization, Calculus for Machine Learning and Data Science.

Yes! We want to break down the barriers that hold people back from advancing their math skills. In this course, we flip the traditional mathematics pedagogy for teaching math, starting with the real world use-cases and working back to theory.

Most people who are good at math simply have more practice doing math, and through that, more comfort with the mindset needed to be successful. This course is the perfect place to start or advance those fundamental skills, and build the mindset required to be good at math.

Linear algebra (matrices, vectors, and their applications)