Nonlinear Systems : Chapter 2-2
There are other matrix norms, which are not induced norms.
Let A be n m matrix. Let ai Rn be the columns of A,
i.e. A = [a1 a2 . . . am ]
Set a =
Then any vector norm of a is also a norm of A.
Department of Electrical and Electronics Engineering EEE212 Microprocessors
QUIZ 1 Solutions
Sections 1 and 4
Closed book, no calculators.
Duration: 45 minutes
Surname Name ID Number Section Signature
: : : : :
Question 1 (50
IDENTIFY and SET UP: The target variables are the period T and angular frequency . We are given the frequency f, so we can find these using Eqs.(13.1) and (13.2) EXECUTE: (a) f = 220 Hz
T = 1/f = 1/220 Hz = 4.54 10-3 s = 2 f = 2 (
ELECTRIC CHARGE AND ELECTRIC FIELD
(a) IDENTIFY and SET UP: Use the charge of one electron ( -1.602 10 -19 C) to find the number of electrons required to produce the net charge. EXECUTE: The number of excess electrons needed to produce net charge
IDENTIFY: Altering the orientation of a coil relative to a magnetic field changes the magnetic flux through the coil. This change then induces an emf in the coil. SET UP: The flux through a coil of N turns is = NBA
IDENTIFY and SET UP: Consider the distance A to O and B to O as observed by an observer on the ground (Figure 37.1).
(b) d = vt = (0.900) (3.00 108 m s) (5.05 10-6 s) = 1.36 103 m = 1.36 km. 37.3.
1 IDENTIFY and SET UP: The
NEWTON'S LAWS OF MOTION
IDENTIFY: Consider the vector sum in each case. ! ! ! ! SET UP: Call the two forces F1 and F2 . Let F1 be to the right. In each case select the direction of F2 such that ! ! ! F = F1 + F2 has the desired magnitude. EXECUTE:
P U Z Z L E R
For thousands of years the spinning Earth provided a natural standard for our measurements of time. However, since 1972 we have added more than 20 "leap seconds" to our clocks to keep them synchronized to the Earth. Why are such adjustm
Nonlinear Programming 2nd Edition Solutions Manual
Dimitri P. Bertsekas
Massachusetts Institute of Technology
Athena Scientic, Belmont, Massachusetts
NOTE This solutions manual is continuously updated and improved. Portions of the manual, involving prim
Mathematical Programming: An Overview
Management science is characterized by a scientic approach to managerial decision making. It attempts to apply mathematical methods and the capabilities of modern computers to the difcult and unstructured problems c
February 28, 2011 MATH 260 HOMEWORK # 2 (Due March 8, 2011, Tuesday) (Please submit your solutions to my office by 5:00 p.m, latest) 1. A machine in a heavy-equipment factory produces steel rods of length Y, where Y is a normally distributed random variab
Introduction to Probability
DimitriP.Bertsekas and JohnN.Tsitsiklis
Professors of Electrical Engineering and Computer Science Massachusetts Institute of Technology Cambridge, Massachusetts
These notes are copy right-protected but may be freely distributed
IE 400: Homework 2
Due April 2, 17.30 PM
1) Consider the following LP:
Min z= 4 X1 + 2 X2
3 X1 + X2 2 7
-X1 - X2 -21
X1 + 2X 2 3 0
a) Solve the above LP by using the graphical method.
b) Solve the above LP by using Big M Method, a