Linear Mapping Course
Gain expertise in linear transformations using practical tools like matrices, projections, rotations, kernels, rank-nullity theorem, and polynomial operators. Develop strong geometric understanding and rigorous notation to confidently tackle advanced math and modeling challenges in real-world scenarios.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear path to mastering linear transformations, covering definitions, linearity tests, applications in R² and R³ including rotations, reflections, and projections. Learners gain skills in kernels, images, rank, nullity, polynomial operators, matrix techniques, and precise notation for accurate solutions.
Elevify advantages
Develop skills
- Master testing linear maps, identifying affine transformations, and avoiding pitfalls.
- Construct matrices for rotations, reflections, and projections in R² and R³ efficiently.
- Calculate kernels, images, rank, and nullity, interpreting them geometrically.
- Apply matrices and basis changes for operators on R^n and polynomials.
- Communicate linear algebra solutions with precise notation and proofs.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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