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Linear Transformations

Study sheet

Linear transformations are functions between vector spaces that preserve vector addition and scalar multiplication. You will understand how to represent these mappings using matrices, find their kernel and image, and analyze their geometric effects on space.

9 resources

Level
Type

📹Videos(2)

video👁️ 0

Vectors, what even are they?

Introduction to vectors in 3D from 3Blue1Brown

beginner🇬🇧
video👁️ 0

3Blue1Brown: Essence of Linear Algebra (stats intro)

Visually understand linear algebra concepts crucial for descriptive statistics with 3Blue1Brown. Build intuition through engaging animations!

beginner🇬🇧

🎓Courses(3)

course👁️ 0

Essence of Linear Algebra

Grasp determinants with 3Blue1Brown's "Essence of Linear Algebra" course. Visualize and understand this key linear algebra concept.

beginner🇬🇧
course👁️ 0

Linear Algebra (Math 18.06)

Learn linear algebra fundamentals, including vector spaces, with Gilbert Strang's renowned MIT 18.06 course.

advanced🇬🇧
course👁️ 0

Mathematics for Machine Learning: Linear Algebra

In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems. Finally we look at how to use these to do fun things with datasets - like how to rotate images of faces and how to extract eigenvectors to look at how the Pagerank algorithm works. Since we're aiming at data-driven applications, we'll be implementing some of these ideas in code, not just on pencil and paper. Towards the end of the course, you'll write code blocks and encounter Jupyter notebooks in Python, but don't worry, these will be quite short, focussed on the concepts, and will guide you through if you’ve not coded before. At the end of this course you will have an intuitive understanding of vectors and matrices that will help you bridge the gap into linear algebra problems, and how to apply these concepts to machine learning.

beginner🇬🇧

🌐Websites(4)

website👁️ 0

Paul's Online Notes - Linear Algebra

Detailed notes on linear transformations

beginner🇬🇧
website👁️ 0

khanacademy.org

Khan Academy is a free online learning platform offering instructional videos and interactive practice across math topics, including linear equations. It provides step-by-step lessons, examples, and exercises to help you understand and master solving linear equations.

intermediate🇬🇧
website👁️ 0

mathworld.wolfram.com

MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.

intermediate🇬🇧
website👁️ 0

ocw.mit.edu

MIT OpenCourseWare is a free, publicly accessible repository of MIT course materials across many disciplines, providing complete lecture notes, assignments, exams, and often video lectures from MIT courses. It includes math and other subjects, allowing self-paced study on topics such as group theory and beyond.

intermediate🇬🇧

Frequently Asked Questions

What are the best free resources to learn Linear Transformations?

Dantes has curated 9 resources for Linear Transformations, including 2 videos, 3 courses, 4 websites. All resources are hand-picked for quality — no algorithmic filler. Browse the full list above to find the format that works best for you.

Is Linear Transformations hard to learn?

Linear Transformations is approachable at the beginner level — there are resources here specifically for those starting from scratch. As you progress, intermediate and advanced material is also available to take your skills further.

What types of Linear Transformations learning resources are available on Dantes?

For Linear Transformations, Dantes has curated 2 videos, 3 courses, 4 websites. Each resource type serves a different learning style: videos and YouTube for visual learners, books for depth, courses for structured progression, and websites for quick reference.

How does Dantes select Linear Transformations resources?

Dantes is an algorithm-free learning directory. Resources are hand-curated based on quality, accuracy, and usefulness — not engagement metrics or paid placements. The goal is to surface the best learning material for Linear Transformations, whether it's a free YouTube series, a classic textbook, or an open courseware from a top university.

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