Website for B.Tech. Linear Algebra (MA 1140) Spring 2017
I shall be taking around 9 classes, each of it is of 90 mins duration. The duration of the course is from 08.02.17 to 22.03.17.
The classes will commence on 10.02.17 (@IIT Hyderabad) and 08.02.17 (@IIT Bhilai), respectively.
Class timings:
(@IIT Hyderabad) Tuesday: 14:30 to 16:00 Friday: 16:00 to 17:30
(@IIT Bhilai) Wednesday: 10:30 to 12:00 Thursday: 09:00 to 10:30
Syllabus:
Introduction to linear equations, matrices, Gaussian elimination, LU-Decomposition, inverses.
Vector spaces (VS), subspaces, linear independence, span, column space, row space, null space, basis, dimension.
Computation of null space, rank, rank-nullity theorem and its applications.
Linear transformations, matrix of a linear transformation, change of basis, similarity, determinants.
Eigenvalues, eigenvectors, characteristic polynomials, minimal polynomials, Cayley-Hamilton theorem.
Algebraic multiplicity, Geometric multiplicity, diagonalization.
Inner product VS, Gram-Schmidt process, eigenvalues for various types of matrices.
Main References:
Gilbart Strang, Linear algebra and its applications (4th Edition), Thomson (2006).
Sheldon Axler, Linear algebra done right, Springer publications.
S. Kumaresan, Linear algebra - A Geometric approach, Prentice Hall of India (2000).
E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley.
(@IIT Hyderabad) Date for the final exam: 10th March 2017 (Friday) Venue: Upper Dining Hall Time: 16:00 to 17:30.
(@IIT Bhilai) Date for the final exam: 1st March 2017 (Wednesday) Venue: TBA Time: 10:30 to 12:00.
The final grades will be given based on the marks obtained in the class tests and the final examination.
The problem sheets are being prepared by Mr. Mobeen Pasha (me14btech11044@iith.ac.in) & V. Sujeeth Reddy (me14btech11040@iith.ac.in),
tutorial assistants for MA 1140 in Feb - Mar 2017.
For the main page, Click .