Linear Transformations Courses and Certifications

Wrath of Math

Kernel and Range of Linear Transformations in Linear Algebra

Explore kernel and range in linear transformations, their definitions, examples, and proof of subspace properties. Gain insights into null space and column space extensions.

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

Wrath of Math

General Linear Transformations on Vector Spaces

Explore general linear transformations on vector spaces, their properties, and examples. Learn to distinguish between linear and non-linear transformations in this comprehensive overview.

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

3D Worlds and Matrix Transformations

Build animated 3D scenes with GLM transformation matrices, camera positioning, and perspective projection to create convincing depth and motion.

• CodeSignal
• 4 hours
• Self-Paced
• Free Certificate

TrevTutor

Linear Algebra - Complete Course on Systems, Vectors, Matrices, and Transformations

Master fundamental concepts from systems of equations to eigenvalues through comprehensive video tutorials covering matrices, transformations, vector spaces, and diagonalization.

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

Linear Algebra: Linear Systems and Matrix Equations

181 ratings at Coursera

Solve and classify linear systems with the row reduction algorithm, then connect matrix equations, vectors, linear independence and linear transformations while reading and writing mathematical proofs.

• Coursera
• 4 weeks, 3 hours a week
• Self-Paced
• Paid Course

Khan Academy

Determinant and Area of a Parallelogram - Matrix Transformations - Linear Algebra - Khan Academy

Explains how the determinant of a 2×2 matrix gives the area of the parallelogram formed by its column vectors.

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

Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra

Analyze complex variables, solve linear differential equations with Laplace transforms, and apply vector spaces, eigenvectors, determinants, and orthogonal functions.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Linear Algebra I: Linear Equations

28 ratings at edX

This course takes you through the first three weeks of MATH 1554, Linear Algebra, as taught in the School of Mathematics at The Georgia Institute of Technology.

• edX
• 3 weeks, 5-6 hours a week
• Self-Paced
• Free Online Course (Audit)

Mathemaniac

What Is Jacobian - The Right Way of Thinking Derivatives and Integrals

Builds intuition for the Jacobian matrix and determinant by reframing derivatives as local linear maps and explaining their role in changing variables.

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

3Blue1Brown

Essence of Linear Algebra

Discover linear algebra fundamentals through stunning visual explanations covering vectors, transformations, matrices, eigenvalues, and geometric interpretations.

• YouTube
• 3 hours 1 minute
• Self-Paced
• Free Video

Career Certificate

Introductory Linear Algebra

Solve systems of linear equations with a row-reduction algorithm, explore linear independence and linear transformations, and apply the Invertible Matrix Theorem, partitioned matrices, and matrix factorizations.

• edX
• 6 weeks, 5-6 hours a week
• Self-Paced
• $498.00
• 2 courses

Vector Space - Linear Algebra

6 ratings

In this course, you will learn about Vector Space. These concepts are very important for Engineering and Basic Science students. This course is very useful for B.Sc./B.Tech students as well as for M.Sc./M.Tech. students who are preparing for NET, GATE an…

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

Matrices

Before you get started, you should be comfortable working with vectors, including their components and how to write one vector as a linear combination of others, which you can pick up in the Vectors course. You don't need any prior experience with matric…

• Brilliant
• Self-Paced
• Paid Course

Serrano.Academy

Principal Component Analysis

A visual, conceptual introduction to PCA that uses variance, covariance, eigenvalues, and eigenvectors to explain dimensionality reduction.

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

Wrath of Math

Linear Algebra Exercises - Practice Problems and Solutions

Enhance your knowledge of linear algebra through comprehensive exercises covering matrices, transformations, eigenvalues, and vector spaces with detailed solutions.

• YouTube
• 7 hours 56 minutes
• Self-Paced
• Free Video