E1 219o: Linear Algebra

• Term: August - December 2026.

• Instructor: Kunal N. Chaudhury (kunal@iisc.ac.in).

• Credits: 3:1.

• Venue: Online.

• Timings:

• Grading: 

• Syllabus:  [Theory] Linear systems; vector spaces and linear transformations; subspaces, basis, dimension, rank and nullity; inner-product spaces, orthogonality and projections; eigenvalues, eigenvectors and diagonalization; symmetric, Hermitian and positive definite matrices; singular value decomposition; positive and stochastic matrices; vector and matrix norms, conditioning and stability. 

[Applications] Least-squares regression; signal and data approximation; inverse problems and parameter estimation; PCA and low-rank approximation; MIMO systems; Markov chains and consensus; graph Laplacians; conditioning and numerical stability.

• Lecture notes: