EE609
Assignment 1
January 5, 2016
No need to submit the assignment. Assignment will be discussed on 9 Jan, 4-6pm in L5.
1. Prove the Woodbury identity for rectangular matrices B, D, and invertible matrices A, C,
(A + BCD)1 = A1 A1 B(C1 + DA1 B)1 DA1
(1)

EE609
Assignment 7
February 26, 2016
Weight: 1% if submitted by March 12, 2015.
Assignment will not be graded. No need to submit practice problems.
1 Assignment Problems
6= 0 and covariance matrix R. Solve the following
1. Let c be a Gaussian random vari

EE609
Assignment 2
January 9, 2016
Weight: 2% if submitted by Jan 17, 2016. Discussion will be held on Jan 23, 2016.
1. Attempt all the assignment problems. There is no penalty for submitting incorrect solutions.
2. However, plagiarism will result in seri

EE609
Assignment 5
February 2, 2016
Weight: 2% if submitted by Feb 11, 2016.
Assignment will not be graded. No need to submit practice problems.
1 Assignment Problems
1. Show that the following problem can be formulated as an LP
min kAx bk + kxk1
x
(1)
2.

prove that defective matrix is not diagnolizable
EE609
Assignment 1
January 5, 2016
No need to submit the assignment. Assignment will be discussed on 9 Jan, 4-6pm in L5.
1. Prove the Woodbury identity for rectangular matrices B, D, and invertible matrices

1. Convex optimization in game theory
2. Total least squares
3. Nonlinear classification via kernel methods
4. Integer programming techniques
5. Majorization-minimization technique for solving non-convex problems
6. FIR filter design
7. Multiobjective opt

EE609
Assignment 3
January 15, 2016
Weight: 2% if submitted by Jan 23, 2016.
Assignment will not be graded. No need to submit practice problems.
1 Assignment Problems
1. Starting from Jensens inequality, show that x y 1 x + (1 )y.
2. Consider a differenti

EE609
Assignment 4
January 24, 2016
Weight: 2% if submitted by Jan 28, 2016, 2pm.
Assignment will not be graded. No need to submit practice problems.
1 Assignment Problems
1. What is the solution of the following linear program
min cT x
(1)
s. t. 0 xi 1
i

Write out the system equation for the above circuit.
Choose appropriate values for the conducatnces and the current sources. Solve for the currents and
voltages above using the above system equation.
Solve using any network theorem and validate your solut

EE609
Assignment 1
January 9, 2017
No need to submit the assignment. Assignment will be discussed on 14 Jan, 4-6pm in L17.
1. Prove the Woodbury identity for rectangular matrices B, D, and invertible matrices A, C,
(A + BCD)1 = A1 A1 B(C1 + DA1 B)1 DA1
(1

EE609
Assignment 2
January 19, 2017
Weight: 2% if submitted by Jan 27, 2017. Discussion will be held on Jan 28, 2017.
1. Attempt all the assignment problems. There is no penalty for submitting incorrect solutions.
2. However, plagiarism will result in ser

EE609
Assignment 3
January 15, 2016
Weight: 2% if submitted by Jan 23, 2016.
Assignment will not be graded. No need to submit practice problems.
1 Assignment Problems
1. Starting from Jensens inequality, show that x y 1 x + (1 )y.
2. Consider a differenti

EE609
Assignment 4
January 24, 2016
Weight: 2% if submitted by Jan 28, 2016, 2pm.
Assignment will not be graded. No need to submit practice problems.
1 Assignment Problems
1. What is the solution of the following linear program
min cT x
(1)
s. t. 0 xi 1
i

EE609
Assignment 6
February 6, 2016
No need to submit. Discussion will be held on 11 or 12 Feb.
1. Show that the following two problems are duals of each other.
p = min max(PT u)i
(1)
s. t. u 0
(2)
i
m
ui = 1
(3)
i=1
and
d = max min(Pv)i
(4)
s. t. v 0
(5)

EE609
Assignment 5
February 2, 2016
Weight: 2% if submitted by Feb 11, 2016.
Assignment will not be graded. No need to submit practice problems.
1 Assignment Problems
1. Show that the following problem can be formulated as an LP
Ax b
min
x
+ x
1
(1)
2. Ex

EE609
Assignment 2
January 9, 2016
Weight: 2% if submitted by Jan 17, 2016. Discussion will be held on Jan 23, 2016.
1. Attempt all the assignment problems. There is no penalty for submitting incorrect solutions.
2. However, plagiarism will result in seri