Basic Linear Algebra

By Prof. I. K. Rana   |   IIT Bombay
Learners enrolled: 451
About the course:
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
INDUSTRY SUPPORT : Basic mathematics at school level undergraduate level
Course Status : Upcoming
Course Type : Core
Duration : 8 weeks
Start Date : 20 Feb 2023
End Date : 14 Apr 2023
Exam Date : 30 Apr 2023 IST
Enrollment Ends : 20 Feb 2023
Category :
  • Mathematics
Credit Points : 2
Level : Undergraduate

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

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: 
30 April 2023 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.


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

MHRD logo Swayam logo


Goto google play store