mathIntermediate
Linear Algebra: Vectors, Matrices & Transformations
Develop a strong intuitive and rigorous understanding of linear algebra — the mathematical language of machine learning and engineering.
4.8(124 reviews)378 students47m1 lectures
Lectures
30
Notes
12
Quizzes
8
Level
Intermediate
About This Course
Linear algebra is the foundation of modern computing, data science, and physics. This course builds your understanding systematically from vectors and matrices to eigenvalues, linear transformations, and inner product spaces. Strong emphasis is placed on geometric intuition alongside algebraic rigour, so you understand not just how to compute, but what the computations mean.
What you'll learn
- Perform operations with vectors and matrices confidently
- Solve systems of linear equations using Gaussian elimination
- Understand determinants and their geometric meaning
- Compute eigenvalues and eigenvectors and apply them
- Understand linear transformations and their matrix representations
- Analyse vector spaces, subspaces, and orthogonality
Prerequisites
- High school mathematics (algebra and geometry)
- Basic calculus is helpful but not required
Linear AlgebraMatricesVectorsMathematicsEigenvalues
Curriculum
Curriculum coming soon.
Instructor
Dr. Arjun Mehta