Course Details
Subject {L-T-P / C} : MA3105 : Introduction to Linear Algebra { 3-1-0 / 4}
Subject Nature : Theory
Coordinator : Suvendu Ranjan Pattanaik
Syllabus
| Module 1 : |
Vector spaces, Subspaces, Linear span, Linear Independence and dependence, Bases and dimensions, Sums and direct sums, Quotient spaces. Linear transformations, Kernel and image of a linear transformation, Representation of linear transformations by matrices, Rank-nullity theorem, Change of bases for linear transformations, Base-change Matrices, Orthonormal bases, Gram-Schmidt process. Determinants, Eigenvalues and Eigenvectors, Characteristic Polynomial, Diagonalization, Proof of Cayley-Hamilton theorem, Solution of system of linear equations. |
Course Objective
| 1 . |
To be acquainted with matrix and linear transformation. |
| 2 . |
Solving system of linear equations |
Course Outcome
| 1 . |
To be proficient with linear transformations and matrices. |
Essential Reading
| 1 . |
V Krishnamurthy, An Introduction to Linear Algebra, EWP |
| 2 . |
G. Strang, Linear Algebra and its Applications, Thomson |
Supplementary Reading
| 1 . |
K. Hoffman, Linear Algebra, Prentice Hall of India |
| 2 . |
J. H. Kwak, Linear Algebra, Birkhauser |