Lectures
Monday 2:40-3:40
Tuesday 2:40-3:40
Lecture notes after mid-sem are available here.
Office hour: Monday 5:00-6:00, Room no 467, Main Building. Please send me an email (dborah@iiserpune.ac.in) before dropping by.
Tutorials
Tutorials will be conducted in eight batches and you can find your batch number, location, and TA details here. The problems to be discussed in the tutorials will be uploaded here.
Contents
Systems of linear equations, Gauss-Jordan elimination, computing the inverse of a matrix
Vector spaces, linear independence, basis, dimension
Linear transformations, the matrix of a linear transformation, rank-nullity theorem
Inner product spaces, orthogonality, Gram-Schmidt process, projections, orthogonal transformations
Determinants, Cramer’s rule, inverses, volumes
Eigenvalues and Eigenvectors, diagonalization, spectral theorem for symmetric matrices
References
1. G. Strang, Introduction to linear algebra
2. K. Hoffman and R. Kunze, Linear algebra
2. S. Kumaresan, Linear algebra: A geometric approach
3. S. Axler, Linear algebra done right
Evaluation
End-sem 30%
Mid-sem 30%
Quizzes 40%.