Website for B.Tech. Linear Algebra (MA 1140) Spring 2018
I shall be taking around 9 classes, each of it is of 90 mins duration.
The duration of the course is from 08.02.18 to 22.03.18.
Class timings:
Tuesday: 14:30 to 16:00 Friday: 16:00 to 17:30
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, 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.