Website for B.Tech. Linear Algebra (MA 1140) Spring 2024
I shall be taking around 14 classes, each of it is of 60 mins duration.
The duration of the course is from 02.01.24 to 15.02.24.
Class timings, Venue and Batch of Students for Dr. Narasimha Kumar
Slot E, Auditorium and COB23, EPB23, MEB23, MSMEB23 (Core) and backlog students of ESB22, EPB22, MnCB22, MEB22.
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, Thomson.
Sheldon Axler, Linear algebra done right, Springer publications.
S. Kumaresan, Linear algebra - A Geometric approach, Prentice Hall of India.
E. Kreyszig, Advanced engineering mathematics, John Wiley.
Examination and Grades:
Date for the final exam: 06 February 2024 (Tuesday) Venue: Auditorium & A-LH1 Time: 18:00 to 19:30
The final grades will be given based on the marks obtained in the class tests and the final examination.