A First Course in Linear Algebra
A First Course in Linear Algebra
Robert A. Beezer
University of Puget Sound
Version 3.40
Congruent Press
Robert A. Beezer is a Professor of Mathematics at the University of Puget Sound,
where he has been on the faculty sin
Homework 8
Ha Pham
November 20, 2008
Problem 1 (Chapter 6 - ex 24). Find a polynomial q P2 (R) such that
1
p( ) =
2
Z
1
p(x)q(x) dx()
0
for every p P2 (R).
Proof. Use G-S on the basis (1, x, x2 ) to obtain an orthonormal basis denoted by (1, p1 , p2 ),
th
Systems of Linear Equations
Howard Anton, Elementary Linear Algebra, 5th ed., Wiley, New York, 1987.
1. Solve the following systems using Gauss-Jordan elimination.
x1 + x2 + 2x3 = 8
(a.) x1 2x2 + 3x3 = 1
3x1 7x2 + 4x3 = 10
2x1 + 2x2 + 2x3 = 0
(b.) 2x1 + 5
Jacky Chong
IB Student
D1 HL Mathematics
Internal Assessment Type I
January 15, 2010
InternalAssessmentHowManyPieces?
In this paper, I investigated
the relationship between the maximum
number of pieces obtained when an idimensional object is cut n times.
Jacky Chong
IB Student
D1 HL Mathematics
Internal Assessment Type II - Colored
March 12, 2010
Internal Assessment Running with Angie and Buddy
In this paper, I modeled the route
traced by a pet dog named Buddy as he
followed his owner Angie. With the use
Jacky Chong
IB Student
D1 HL Mathematics
Internal Assessment Type II - Colored
December 28, 2010
InternalAssessmentModellingaFunctionalBuilding
In this paper, I modeled the
route traced by a pet dog named Buddy
as he follows his owner Angie. With
the
use
Jacky Chong
IB Student
D1 HL Mathematics
Internal Assessment Type II
December 14, 2009
InternalAssessmentDesigningaFreightElevator
In this paper, I will analyze a
given model for the motion of an
elevator used to carry freight in a
mine. More importantly,
Math1003 Algebra and Calculus, Fall 2011
Homework-II : Due 09/21/2011 at 11:50pm HKT
Name: Ka Yee Leslie TSANG
The three fundamental formulas you need for solving the problems in this
homework set are the following:
The Compound Interest Formula:
A = P(1