Basic Linear Algebra

By Prof. I. K. Rana | IIT Bombay

Learners enrolled: 7208

Linear Algebr is a basic course for students intended to go for Engineering sudies and higher studies in Mathematics. We will cover the basic tools needed in these brances.

INTENDED AUDIENCE : B.Tech, B.Sc., M.Sc (maths) , BA/MA Economics/Statistics

PREREQUISITES : Core

INDUSTRY SUPPORT : Basic mathematics at school level undergraduate level

Summary

Course Status :	Completed
Course Type :	Core
Language for course content :	English
Duration :	8 weeks
Category :	Mathematics
Credit Points :	2
Level :	Undergraduate
Start Date :	15 Feb 2021
End Date :	09 Apr 2021
Enrollment Ends :	15 Feb 2021
Exam Date :	25 Apr 2021 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1  : Matrices and Matrix operations, REF
Week 2  : Linear systems, Gauss Elimination and Inverse of a matrix
Week 3  : Rn; subspaces, linear independence, rank of a matrix
Week 4  : Determinants, rank, inveribility
Week 5  : Linear transformations,rank-nullity
Week 6  : Inner product spaces, Gram-Schmidt process
Week 7  : Eigenvalues and Eigenvectors
Week 8  : Similarity, diagonalization and applications

TEACHING ASSISTANT
  S. Venkitesh

S. Venkitesh is a final year Ph.D. student at IIT Bombay, with research interests in Combinatorics and Theoretical Computer Science, working with Prof. Srikanth Srinivasan. He has co-authored 3 research papers till date. His current research focuses on problems in Boolean function and circuit complexity, and theory and algorithms for linear codes, which have an inherent combinatorial/algebraic flavour. Two key methods often employed in such research are the polynomial method and the probabilistic method.

He obtained his Masters’ degree in Mathematics from IIT Bombay (with Third rank) and Bachelors’ degree in Mathematics from University of Mumbai (with First rank). He has so far been a Teaching Assistant in 7 Mathematics courses of NPTEL and 10 courses at the Department of Mathematics, IIT Bombay. He also frequently accompanies the faculty of the Department of Mathematics, as a resource person for mathematics workshops at colleges in Mumbai.

Books and references

From Geometry to Algebra, an introduction to linear Algebra, Inder K Rana, Ane Books 2007.

Instructor bio

Prof. I. K. Rana

IIT Bombay

I am Emeritus Fellow at Department of Mathematics, IIT Bombay. I have taught couses at B.Tech, M.Sc., and Ph.D level for the last 34 years.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 25 April 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Bombay.It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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