Details of MA2102 (Autumn 2019)
Level: 2 | Type: Theory | Credits: 3.0 |
Course Code | Course Name | Instructor(s) |
---|---|---|
MA2102 | Linear Algebra I | Somnath Basu |
Syllabus |
---|
Basic Material: System of linear equations, matrices, elementary row and column operations, echelon forms etc.
Vector Spaces: Definition of a vector space, subspace, quotient space and their examples; linear independence; basis and dimension; scalar product; orthogonal basis and the Gram-Schmidt orthogonalization process. Matrix and Determinant: Trace of a matrix, rank of a matrix, rank-nullity theorem, properties of determinant, non-singularity, similar matrices, elementary matrices, partitioned matrices, special types of matrices, change of basis, Dual spaces. Eigenvalues and Eigenvectors: Eigenvalues and eigenvectors of a matrix, characteristic polynomial, Diagonalization. Similarity: Orthogonal, unitary and Hermitian matrices, similarity and unitary similarity, Schurs triangularization theorem and the spectral theorem for normal matrices (statements only) |
References |
---|
|
Course Credit Options
Sl. No. | Programme | Semester No | Course Choice |
---|---|---|---|
1 | IP | 1 | Not Allowed |
2 | IP | 3 | Not Allowed |
3 | IP | 5 | Not Allowed |
4 | MR | 1 | Not Allowed |
5 | MR | 3 | Not Allowed |
6 | MS | 3 | Core |
7 | RS | 1 | Not Allowed |
8 | RS | 2 | Not Allowed |