Semester1

This syllabus outlines the course ME010102 - Linear Algebra, designed for a 90-hour program with 4 credits. The course is structured around the textbook Linear Algebra by Kenneth Hoffman and Ray Kunze, Second Edition, published by Prentice-Hall of India Pvt. Ltd. The curriculum is divided into four modules.

• Module 1 focuses on foundational concepts, including vector spaces, subspaces, bases, dimensions, and computations related to subspaces, with references to chapters 2.1 to 2.6.
• Module 2 delves into linear transformations, their algebra, isomorphism, representation by matrices, and more, covering chapters 3.1 to 3.7.
• Module 3 explores determinants and their properties, including permutation and adjoints, detailed in chapters 4.1 to 4.5.
• Module 4 addresses canonical forms, invariant subspaces, polynomials, and decompositions, using chapters 6.1 to 6.6.

The syllabus also specifies a question paper pattern with sections A, B, and C, assigning questions from each module. It references supplementary materials by Klaus Jänich, Paul R. Halmos, S. Lang, K.B. Datta, and S. Kumaresan, offering additional perspectives on linear algebra. This course equips students with a robust understanding of theoretical and applied aspects of linear algebra.