B Tech Linear Algebra Spring 2016

Website for B.Tech. Linear Algebra (MA 1140) Spring 2016

Update: The grades for MA 1140 have been submitted on 19th March 2016. If you wish to know your grade, then you may contact the academic section.

I shall be taking around 10 classes, each of it is of 90 mins duration. The duration of the course is from 11.02.16 to 20.03.16 The classes will commence on 16.02.2016.

Class timings:

Tuesday: 04:00 pm to 05:30 pm
Friday: 02:30 pm to 04:00 pm

Syllabus:

Introduction to linear equations, matrices, Gaussian elimination, LU-Decomposition, inverses.
Vector spaces (VS), subspaces, linear independence, span, column space, row space, null space, basis, dimension.
Computation of null space, rank, rank-nullity theorem and its applications.
Linear transformations, matrix of a linear transformation, change of basis, similarity, determinants.
Eigenvalues, eigenvectors, characteristic polynomials, minimal polynomials, Cayley-Hamilton theorem.
Algebraic multiplicity, Geometric multiplicity, diagnoalization.
Inner product VS, Gram-Schmidt process, eigenvalues for various types of matrices.

Main References:

Gilbart Strang, Linear algebra and its applications (4th Edition), Thomson (2006).
Sheldon Axler, Linear algebra done right, Springer publications.
S. Kumaresan, Linear algebra - A Geometric approach, Prentice Hall of India (2000).
E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley.

Assessment and Submission:

During the course, I shall be uploading assignment sheets with a due date mentioned next to it. On the respective due dates, submit the assignment on or before 02:15 pm
at my cabin no. 306 @ Hostel E. No marks will be credited into your account if you submit after 02:15 pm. Assignments have to be submitted in A4 white sheets.

Assignments/Surprise Tests

Assignments

Assignment 1 Uploaded date: 19.02.16, Due date: 25.02.16
Assignment 2 Uploaded date: 25.02.16, Due date: 03.03.16
Assignment 3 Uploaded date: 02.03.16, Due date: 10.03.16
Assignment 4 Uploaded date: 08.03.16, Due date: 15.03.16

Surprise Tests

Surprise Test 1 (4 marks), conducted date: 24.02.16. What is the column space of an invertible n x n-matrix A over real numbers?
Surprise Test 2 (6 marks), conducted date: 01.03.16. For any n x n-matrix A, define the null space of A. Produce a basis for skew-symmetric n x n matrices over R and calculate the dimension of this space.
Surprise Test 3 (8 marks), conducted date: 08.03.16. Define algebraic, geometric multiplicity of an eigenvalue of a matrix, diaognalizability and relate all these 3 terminologies.

Examination and Grades:

Date for the final exam: 11th March 2016 (Friday) Venue: Upper Dining Hall Time: 02:15 pm to 03:45 pm.

The final grades will be given based on the marks obtained in the surprise test (10 marks), assignments (20 marks), and the final examination (40 marks, scaled accordingly), respectively. The grades will be given based on the percentage of marks that you got out of these 70.

Tutors

The following table has the list of tutors who are assigned to a set of students mentioned in the last column. If you need any help regarding clarification of doubts that arise in the class, help in understanding the assignment problems or for any other difficulty that occur in the course, please contact them. If you feel that you are not satiesfied with their help, then feel free to contact me.

	Tutor (Alloted Students)	E-mail id	S. No. as in here (access with your IITH e-mail id)
1	Chaitanya Dhakne (21)	me14btech11011@iith.ac.in	1--21
2	Kalivarapu Reshma (21)	cs14btech11042@iith.ac.in	22--42
3	Sanjan Prakash (21)	ep14btech11007@iith.ac.in	56--76
4	Ramchand Choudary (21)	ms14btech11004@iith.ac.in	77--97
5	Akhila Kumuda Priya (23)	cs14btech11029@iith.ac.in	144--166
6	Gaddala Lalith Chandra (21)	me14btech11012@iith.ac.in	108--128
7	Karthik Yadav Mudda (23)	es14btech11009@iith.ac.in	167--189
8	Sri Krishna Priya (21)	cs14btech11010@iith.ac.in	43--55, 136--143
9	Mohammad Mobeen Pasha (20)	me14btech11044@iith.ac.in	98--107, 204--213
10	Puppala Deepika (21)	cs14btech11027@iith.ac.in	129--135, 190--203

Instructions for the tutors is here (access is only for tutors).

For the main page, Click .

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