EC203 Linear Algebra and Probability Theory

Course Name: 

EC203 Linear Algebra and Probability Theory

Programme: 

B.Tech (ECE)

Semester: 

Third

Category: 

Programme Core (PC)

Credits (L-T-P): 

(3-1-0) 4

Content: 

System of Equations, basic solutions, Echelon matrices, Linear independence, Rank, Inverse, Similarity, Eigen value analysis and Diagonalization, Vector Spaces: Linear Transformations, Subspaces, Linear Independence, Basis, Orthogonal Transformations. Probability – Review of probability, Joint and Conditional probability, Bayes theorem. Random Variable - Definition, discrete and continuous, probability distribution and density, mass functions, Joint and conditional distributions, Expectation, random vectors, vectorised expectation – mean and covariance, Random processes – definition, characterization, Stationarity. Gaussian random process, Central limit theorem.

References: 

Gilbert Strang: Linear algebra and its applications, Thomson Brooks, 2006.
Edgar G. Goodaire, Linear Algebra: A Pure & Applied First Course, World Scientific, 2014.
Dimitri P. Bertsekas, John N. Tsitsiklis, Introduction to Probability, 2nd Ed, Athena Scientific, 2008.
Alberto Leon-Garcia, Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Ed, AddisonWesley, 1994.
A Papoulis , S Pillai, Probability, Random Variables and Stochastic Processes, 4th Ed, McGraw-Hill, 2002

Department: 

Electronics and Communication Engineering(ECE)
 

Contact us

Dr. T. Laxminidhi,  Professor and Head, 
Department of E&C, NITK, Surathkal
P. O. Srinivasnagar,
Mangalore - 575 025 Karnataka, India.

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