Linear Mapping Course
Master linear transformations with concrete tools: matrices, projections, rotations, kernels, rank-nullity, and operators on polynomials. Build geometric insight and precise notation to solve advanced mathematics and modeling problems with confidence.

4 to 360 hours of flexible workload
valid certificate in your country
What Will I Learn?
The Linear Mapping Course gives you a focused path to master linear transformations, from formal definitions and tests for linearity to concrete work in R² and R³ with rotations, reflections, and projections. You will build confidence with kernels, images, rank and nullity, explore operators on polynomial spaces, and practice clear notation, matrix methods, and solution writing for precise, reliable results.
Elevify Differentials
Develop Skills
- Master linear maps: test linearity, spot affine cases, avoid common traps.
- Work with R^2, R^3 transforms: build rotation, reflection, projection matrices fast.
- Compute kernels, images, rank, nullity and interpret them as geometric subspaces.
- Use matrices and change of basis to represent operators on R^n and polynomial spaces.
- Present linear algebra solutions clearly with rigorous notation and concise proofs.
Suggested Summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
Your classes are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to switch platforms... I thank you for everything you do, I've already recommended you to other people...

Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can switch chapters and skip content I don't need.

Mariana FerresPhotography Student
I like the content and the presentation style and video transcription, which speeds up the process!

Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos really help with learning.

André FelipePrompt Engineering Student
FAQ
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course