Linear Algebra
A working understanding of linear algebra — vectors, matrices, eigenvalues, and the decompositions that power modern data, graphics, and AI. The trunk gives you the geometric and algebraic core; clusters dive into vector spaces, systems and rank, eigentheory, orthogonality and projections, applications, and numerical computation.
1 pillars1 courses13 concepts
What you'll learn
Main Path
The mandatory throughline of this roadmap.
Linear Algebra(13 concepts)
- What a Vector Actually Is
- Vector Operations and Span
- Linear Independence and Basis
- Linear Maps and Matrices
- Matrix Multiplication as Composition
- Systems of Linear Equations and Gaussian Elimination
- Determinants — What They Mean
- Eigenvalues and Eigenvectors
- Diagonalization
- Inner Products and Orthogonality
- Singular Value Decomposition
- Why Linear Algebra Runs Modern AI and Data
- Where Linearity Fails
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Frequently asked questions
What does the Linear Algebra roadmap cover?
1 courses broken into 13 bite-size concepts, each taught as an interactive lesson with quizzes and spaced review.
Do I need prior experience to start?
No. The roadmap starts from fundamentals and builds in prerequisite order — each concept unlocks the next, so you're never thrown into material you haven't been prepared for. If you already know the basics, a placement check skips you ahead.
Is the Linear Algebra roadmap free?
You can sign up free and start learning immediately. Mochivia's premium subscription unlocks unlimited daily lessons and the full roadmap depth.
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