Q1. Given [A] = then [A] is a (an) ______________ matrix.
diagonal identity lower triangular upper triangular Q2. A square matrix [A] is lower triangular if
Q3. Given , then if [C] = [A] [B], then c_{31}= _____________________ 58.2 37.6 219.4 259.4 Q4. The following system of equations has ____________ solution(s). x + y = 2 6x+6y =12 infinite no two unique Q5 . Consider there are only two computer companies in a country. The companies are named Dude and Imac. Each year, Dude keeps 1/5^{th} of its customers, while the rest switch to Imac. Each year, Imac keeps 1/3^{rd} of its customers, while the rest switch to Dude. If in 2003, Dude had 1/6^{th} of the market and Imac had 5/6^{th} of the market, what will be the share of Dude computers when the market becomes stable? 37/90 5/11 6/11 53/90 Q6. Three kids  Jim, Corey and David receive an inheritance of $2,253,453. The money is put in three trusts but is not divided equally to begin with. Corey's trust is three times that of David's because Corey made an A in Dr. Kaw’s class. Each trust is put in an interest generating investment. The three trusts of Jim, Corey and David pays an interest of 6%, 8%, 11%, respectively. The total interest of all the three trusts combined at the end of the first year is $190,740.57. The equations to find the trust money of Jim (J), Corey (C) and David (D) in a matrix form is

AUDIENCE  AWARDS  PEOPLE  TRACKS  DISSEMINATION  PUBLICATIONS 

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 336205350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624, 0836981, 0836916, 0836805, 1322586. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other sponsors include Maple, MathCAD, USF, FAMU and MSOE. Based on a work at http://mathforcollege.com/nm. Holistic Numerical Methods licensed under a Creative Commons AttributionNonCommercialNoDerivs 3.0 Unported License. 
