HNGU M.SC. MATHEMATICS SEMESTER - 3
MSM4301 β ADVANCED LINEAR ALGEBRA
Revision:
- Vector spaces,
- Subspaces,
- Bases and dimensions,
- Dual spaces,
- Linear transformations.
Unit 1:
- The algebra of linear transformations,
- Characteristic roots,
- Matrices.
Unit 2:
- Triangular canonical forms,
- Nilpotent linear transformations.
Unit 3:
- Trace and transpose,
- A decomposition theorem,
- Jordan canonical forms,
Unit 4:
- Rational canonical forms.,
- Determinants.
Download Reference Books:
The course is roughly covered by the book , Topics in Algebra 2nd edition - I N Herstein, John Wiley & Sons, Student Edition, New York. (2004)
1. Linear Algebra 2nd edition - Kenneth Hoffman & Ray Kunze, Prentice Hall of India,(1971).
2. A First course in linear algebra - P.B. Bhattacharya, Phani Bhushan Bhattacharya, S. K Jain, S. R. Nagpaul , New Age International Ltd Publishers, New Delhi. (2008)
3. Advanced linear algebra 3rd edition - Steven Roman, Springer. (2008)
| OLD Question Paper | |
|---|---|
| May/June - 2012 | Download |
| Nov/Dec - 2014 | Download |
| Nov/Dec - 2015 | Download |
| Nov/Dec - 2016 | Download |
| May/June - 2017 | Download |
| Nov/Dec - 2018 | Download |
| Nov/Dec - 2019 | Download |
| Nov/Dec - 2020 (MCQ) | Download |
No comments:
Post a Comment