Linear Transformations Courses and Certifications

Tom Rocks Maths

Oxford Linear Algebra - Linear Transformations Explained

Explore linear transformations with Oxford mathematician Dr Tom Crawford, covering definitions, properties, and examples in R3, including matrix multiplication and differentiation.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Linear Transformations

Explore linear transformations through nullspaces, rank-nullity, bases, matrix representations, inverses, projections, and coordinate changes.

• YouTube
• 7 hours
• Self-Paced
• Free Video

Mathemaniac

Matrix Transpose Isn't Just Swapping Rows and Columns

Visualize matrix transpose as a change of perspective that preserves measurements through covectors.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Applications of 3x3 Matrices - Wild Linear Algebra A

Explore how 3x3 matrices transform three-dimensional space through dilations, reflections, projections, and rotations.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Insights into Mathematics

More Applications of 2x2 Matrices - Wild Linear Algebra A

Explore 2x2 matrices as linear transformations through rotations, reflections, compositions, and the derivative matrix linking linear algebra with calculus.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Rank and Nullity of a Linear Transformation - Wild Linear Algebra A - NJ Wildberger

A visual and computational exploration of rank and nullity through kernel and image in transformations between three- and four-dimensional spaces.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Linear Algebra II: Matrices and Linear Transformations

5 ratings at edX

This course provides an overview of bachelor-level linear algebra. You will review all the concepts and practice and refresh the skills related to matrices and linear transformations.

• edX
• 6 weeks, 4-6 hours a week
• Self-Paced
• Free Online Course (Audit)

The Julia Programming Language

Transformations - Composability and Linearity in Computational Thinking - Lecture 4

Explore composable linear and nonlinear transformations in Julia through vector-valued functions, parameters, perspective maps, and image-processing examples.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Trace Theory: Trace Map and Its Range - Part 1

Explore trace theory fundamentals, focusing on trace maps and their ranges in this concise introduction to the mathematical concept.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Jeremy Klassen

Transformations - Introduction to Stretches - Lesson 3

Discover essential stretching techniques and proper form to enhance flexibility, prevent injury, and improve overall physical well-being in this practical guide.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Dr Trefor Bazett

The Gaussian Algorithm Visualized: Geometric Interpretation and Linear Transformations

Visualize the Gaussian algorithm's geometric meaning in linear algebra, exploring plane rotations and linear transformations to simplify systems of equations.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Wrath of Math

Matrices for General Linear Transformations - Linear Algebra

Explore transformation matrices for linear transformations, including coordinate translation, matrix multiplication, and formula derivation. Gain practical insights through examples and applications in linear algebra.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Wrath of Math

Composition of Linear Transformations - Linear Algebra

Explore composition of linear transformations, including definitions, proofs, examples, and theorems. Learn about order, multiple compositions, and one-to-one transformations in linear algebra.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Wrath of Math

Inverse Linear Transformations - Definition and Properties

Explore inverse linear transformations: definition, properties, and examples. Learn how to prove their one-to-one nature and find inverses in this concise, informative video on advanced linear algebra concepts.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Wrath of Math

One-to-One and Onto Linear Transformations in Linear Algebra

Explore one-to-one and onto linear transformations, their properties, and examples. Learn about the equivalence between these concepts and their importance in linear algebra.

• YouTube
• 16 minutes
• Self-Paced
• Free Video