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.
(@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
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.
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 (firstname.lastname@example.org) & V. Sujeeth Reddy (email@example.com),
tutorial assistants for MA 1140 in Feb - Mar 2017.
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