MTH 201, Linear Algebra, Fall 2019

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%.