Linear Algebra – Vectors

Beginner Course (16 Lessons) – TensorSpeed

Master the fundamentals of vectors and early matrices.
Perfect for machine learning, physics, computer graphics, and data science.

• Lesson 1: What is a Vector?
• Lesson 2: Vector Operations (Addition, Subtraction, Scaling)
• Lesson 3: Magnitude, Unit Vectors & Dot Product Intro
• Lesson 4: Dot Product & Projections
• Lesson 5: Cross Product & Triple Product
• Lesson 6: Linear Dependence, Span & Basis
• Lesson 7: Introduction to Matrices
• Lesson 8: Matrix-Vector Multiplication & Linear Transformations
• Lesson 9: Systems of Linear Equations – Introduction
• Lesson 10: Gaussian Elimination – Row Reduction
• Lesson 11: Row Echelon Form, Rank & Solution Classification
• Lesson 12: Determinants & Inverse Matrices
• Lesson 13: Solving Systems Using Matrix Inverses
• Lesson 14: Introduction to Eigenvalues & Eigenvectors
• Lesson 15: Simple Applications & Course Wrap-Up
• Lesson 16: Final Review & Comprehensive Practice