DeepLearning.AI
Linear Algebra for Machine Learning and Data Science
DeepLearning.AI

Linear Algebra for Machine Learning and Data Science

Luis Serrano

Instructor: Luis Serrano

Sponsored by Google DeepLearning AI

139,156 already enrolled

Gain insight into a topic and learn the fundamentals.
4.6

(1,775 reviews)

Intermediate level

Recommended experience

Flexible schedule
Approx. 34 hours
Learn at your own pace
94%
Most learners liked this course
Gain insight into a topic and learn the fundamentals.
4.6

(1,775 reviews)

Intermediate level

Recommended experience

Flexible schedule
Approx. 34 hours
Learn at your own pace
94%
Most learners liked this course

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

Details to know

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Assessments

9 assignments

Taught in English

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This course is part of the Mathematics for Machine Learning and Data Science Specialization
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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 assignments1 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 assignments1 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 assignments1 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 assignments1 programming assignment1 ungraded lab

Instructor

Instructor ratings
4.7 (602 ratings)
Luis Serrano
DeepLearning.AI
4 Courses164,889 learners

Offered by

DeepLearning.AI

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4.6

1,775 reviews

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