Linear Algebra detailed syllabus scheme for Electronics & Telecommunication Engineering (ET), 2017 onwards has been taken from the DBATU official website and presented for the Bachelor of Technology students. For Subject Code, Course Title, Lecutres, Tutorials, Practice, Credits, and other information, do visit full semester subjects post given below.
For 4th Sem Scheme of Electronics & Telecommunication Engineering (ET), 2017 Onwards, do visit ET 4th Sem Scheme, 2017 Onwards. For the Elective-III scheme of 4th Sem 2017 onwards, refer to ET 4th Sem Elective-III Scheme 2017 Onwards. The detail syllabus for linear algebra is as follows.
Linear Algebra Syllabus for Electronics & Telecommunication Engineering (ET) 2nd Year 4th Sem 2017 DBATU
Course Objectives:
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Course Outcomes:
- At the end of this course the successful student will be familiar with the ideas of matrices and their applications in solving problems involving systems of linear equations and linear programming problems.
- Also he/she will be capable of representing geometric transformations by means of matrices and to express the volume of certain figures and equation of line using determinants.
- Students will be able to apply the concepts and methods described in the syllabus, they will be able to solve problems using linear algebra, they will know a number of applications of linear algebra.
- They will be able to follow complex logical arguments and develop modest logical arguments.
Unit 1
Linear Equations
Systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices.
Unit 2
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Unit 3
Linear Transformations
Linear transformations, Rank-nullity theorem, Algebra of linear transformations, Isomorphism, Matrix representation, linear functionals, Annihilator, Double dual, Transpose of a linear transformation.
Unit 4
Elementary Canonical Forms
Characteristic values and characteristic vectors of linear transformations, Diagonalizability, Minimal polynomial of a linear transformation, Cayley- Hamilton theorem, Invariant subspaces, Direct-sum decompositions, Invariant direct sums, The primary decomposition theorem, Cyclic subspaces and annihilators, Cyclic decomposition, Rational, Jordan forms.
Unit 5
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Unit 6
Bilinear Forms
Bilinear Forms, Symmetric Bilinear Forms, Skew Symmetric Bilinear Forms.
Reference/Text Book:
- K. Hoffman and R. Kunze, Linear Algebra, 2nd Edition, Prentice- Hall of India, 2005
- M. Artin, “Algebra”, Prentice-Hall of India, 2005
For detail syllabus of all subjects of Electronics & Telecommunication Engineering (ET) 4th Sem 2017 onwards, visit ET 4th Sem Subjects of 2017 Onwards.