Linear Algebra
Linear Algebra
Linear Algebra [MAL6010] (4 Credits)
Monday : 8:30- 8:55 AM and 2:00-2:25 PM
Tuesday : 9:30- 9:55 AM and 3:00-3:25 PM
Wednesday : 8:00- 8:25 AM and 1:30-1:55 PM
Thursday : 9:00- 9:25 AM and 2:30-2:55 PM
Friday: 4:00-4:55 PM
Internal -60 %
Assignments- 15%
Quiz- 15%
Presentations- 15%
Viva-Voce – 15%
External-40% (End trimester Examination)
Google classroom: https://classroom.google.com/c/MTMxNzc0NjI1MDg4?cjc=lw57izw
Google Meet Link: https://meet.google.com/lookup/chdast5vec?authuser=0&hs=179
Vector Spaces, Matrices and System of Linear Equations [10 Lectures]: System of linear equations, Matrices and rank, Vector Spaces over fields, Subspaces, Bases and dimension, Direct sum of the sub spaces.
Linear Transformation and Inner Product Spaces [10 Lectures]: Linear Transformations, Rank and Nullity theorem, Representation of linear transformations by matrices, duality and transpose. Inner product spaces, Gram-Schmidt orthonormalization, orthogonal projections.
Operators and Spectral Theorem [20 Lectures]: Linear functionals and adjoints, Hermitian, selfadjoint, Unitary and normal operators, Spectral theorem for real operators, Eigenvalues, Eigenvectors, Characteristic polynomials, minimal polynomials, Cayley Hamilton Theorem, triangulation, diagonalization, Jordan canonical forms
Lang, S., Linear Algebra, 3rd Edition, Springer, 2004.
Sheldon Axler, Linear Algebra done right, 3rd Edition, Springer, 2015.
Charles W. Curtis, Linear Algebra, Springer, 2017
Hoffman, K., and Kunze R., Linear Algebra, Pearson Education (India) 2003.
Blyth and Robertson, Further Linear Algebra, Springer, 2002.
Gilbert Strang, Linear Algebra and its applications, Cengage Learning, 2006