Linear Algebra Basics

Learning roadmap

A guided path from your first task to a portfolio-ready project.

1. 1

   Vectors and Operations

   3 lessons

   • ✓Introduction to Vectors and Scalars
   • ✓Vector Addition, Subtraction and Scaling
   • ✓Dot Product and Orthogonality
2. 2

   Matrices and Systems

   3 lessons

   • ✓Matrices as Transformations
   • ✓Matrix Multiplication and Properties
   • ✓Solving Linear Systems with Matrices
3. 3

   Vector Spaces

   3 lessons

   • ✓Span, Linear Independence and Basis
   • ✓Vector Space, Subspaces and Dimension
   • ✓Row Space, Column Space and Null Space
4. 4

   Linear Transformations

   3 lessons

   • ✓Linear Maps and Their Representations
   • ✓Kernel, Image and Rank-Nullity Theorem
   • ✓Change of Basis and Similarity
5. 5

   Eigenvalues and Applications

   3 lessons

   • ✓Eigenvalues, Eigenvectors and Diagonalization
   • ✓Symmetric Matrices and Quadratic Forms
   • ✓Principal Component Analysis Basics
6. 6

   Capstone Project

   3 lessons

   • ✓2D Graphics Transformations Pipeline
   • ✓Image Compression with SVD
   • ✓Building a Simple Face Recognizer

اختر خطتك

وصول غير محدود لكل الدورات، +500 مهمة تدريبية ومرشدك الشخصي بالذكاء الاصطناعي (AI).