E2 212: Matrix Theory

Logistics

Instructor: Chandra R. Murthy (cmurthy at ece)
Class hours: MWF 9.30-11am, Room L1 in the Central Lecture Hall Complex (near the GATE office).
TAs: Ranjitha Prasad and Abhay Sharma
TA Hours: TBD

Textbooks:

1. Horn and Johnson, Matrix Analysis, Cambridge University Press
2. David Lewis, Matrix Theory, Allied Publishers
3. Golub and Van Loan, Matrix Computations, 3rd Ed., John Hopkins University Press
4. Strang, Linear Algebra and its Application, 3rd Ed., Harcourth Brace Jovanovich Pubs.

Syllabus:

S. No. Topic Num. Lectures
1Background and review 3
2Eigenvalues and eigenvectors 5
3Singular value decomposition 3
4The quadratic form, error analysis 4
5Gaussian elimination and LU factorization 5
6The full-rank least-squares problem 3
7Rank deficient LS, generalized pseudoinverses, PCA, QR factorization 6
8Toeplitz and related systems 2
Total 31

Grading

Midterm 1: Sep. 28, 2011, in class: 30%. For the solution, click here.
Final: Dec. 02, 2011, 9.30am - 12.30pm: 50%
Homeworks: due two weeks after the date they are assigned, in class: 20%

Notes:

  • Late submissions of homeworks will not be accepted.
  • There will be no makeup exams.

Homeworks

Homeworks are posted here.

Announcements

  • The first class will be held at 9:30am on Aug. 08, 2011 at L1CL.
  • HW2 is now online. It is due by 11am IST on Sep. 16, 2011.
  • Last year's exam 1: click here.
  • Solution to last year's exam 1: click here.
  • Abhay's comments on HW1: click here.
  • HW3 is now online. It is due by 11am IST on Oct. 07, 2011.
  • HW4 is now online. It is due by 11am IST on Oct. 21, 2011.
  • HW5 is now online. It is due by 11am IST on Nov. 04, 2011.
  • HW6 is now online. It is due by 11am IST on Nov. 11, 2011.
  • HW7 is now online. It is due by 11am IST on Nov. 21, 2011.
  • Last year's final exam and solutions.
  • HW8 is now online. It need not be submitted.

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