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 GramSchmidt orthogonalization process. Matrix and Determinant: Trace of a matrix, rank of a matrix, ranknullity theorem, properties of determinant, nonsingularity, 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 