# Updated HTML Code for Linear Algebra Course Page ```html Linear Algebra - 24 DS - Spring 2026

Linear Algebra

24 DS Batch — Spring 2026

Lecture Slides

1. Introduction to Simultaneous Linear Equations
2. Introduction to Matrices
3. Row Operations, REF, RREF and Rank
4. Solving Linear Systems using Different Methods
5. Determinants and Solving Linear Systems
6. LU Decomposition
7. Vector Spaces and Linear Combination
8. Linear Combination and Spanning
9. Subspaces and Linear Independence

Problem Sheets

1. Problem Sheet — Matrices
2. Problem Sheet — Cramer, Substitution and Elimination Methods
3. Problem Sheet — REF, RREF and Inverse using Row Operations
4. Problem Sheet — Linear Independence, Spanning and Linear Combination
5. Problem Sheet — Change of Bases, Column Space, Row Space and Null Space
6. Problem Sheet — Linear Transformations and Their Matrices
7. Problem Sheet — Eigenvalues, Eigenvectors and Diagonalization
8. Problem Sheet — Orthogonality and Least Squares

© AHS 2026 | Linear Algebra Course