Lecture Note 15
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
D OT P RODUCT ON Rn
We shall now dene the notion of the length of a
Lecture Note 13
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
R EAL V ECTOR S PACES
1. Coordinates and Change of Basis
EAL
V ECTOR
Lecture Note 12
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
Matrix Transformations
Linear Transformations
Produced by Jeff Cha
Lecture Note 11
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
R EAL V ECTOR S PACES
1. Vector Spaces
2. Subsp
Lecture Note 10
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
R EAL V ECTOR S PACES
1. Vector Spaces
2. Subspaces
3. Linear Indepe
Lecture Note 9
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH 2310
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
R EAL V ECTOR S PACES
1. Vector Spaces
2. Subspaces
3. Linear Indepen
Lecture Note 7
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
R EAL V ECTOR S PACES
1. Vector Spaces
2. Subspa
Lecture Note 6
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
D ETERMINANTS
1. Denition and Properties
2. Cofactor Expansion and Ap
Lecture Note 5
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
E LEMENTARY M ATRICES
LEMENTARY
M ATRICES
2
We have seen that any mat
Lecture Note 4
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
S OLVING THE L INEAR S YSTEMS
Gaussian Eliminati
Lecture Note 3
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
L INEAR E QUATIONS AND M ATRICES
1. Linear Syste
Lecture Note 2
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
L INEAR E QUATIONS AND M ATRICES
1. Linear Syste
Lecture Note 1
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
Lecture Notes
Go to
http:/www.math.cuhk.edu.hk/jwong
User Name: math2
Lecture Note 16
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
O R THONORMAL B ASES IN Rn
RTHONORMAL
B ASES IN
Lecture Note 17
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
O R THOGONAL C OMPLEMENTS
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THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH2510 Linear Algebra and Applications (Fall 2010)
Homework 6
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regulations on honesty in academic
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH2510 Linear Algebra and Applications (Fall 2010)
Homework 5
Due Date: 26th November 2010
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regul
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH2510 Linear Algebra and Applications (Fall 2010)
Homework 4
Due Date: 12th November, 2010
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regu
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH2510 Linear Algebra and Applications (Fall 2010)
Homework 3
Due Date: 22th October, 2010
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regul
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH2510 Linear Algebra and Applications (Fall 2010)
Homework 2
Due Date: 8th October, 2010
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regula
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH2510 Linear Algebra and Applications (Fall 2010)
Homework 1
Due Date: 24th September, 2010
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and reg
Partitioned Matrix
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
MATH2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
M ATRIX O PERATIONS : PAR TITIONING
ATRIX
O PERATIONS : PARTITIONI
Lecture Note: Network Flow
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
A N A PPLICATION TO N ETWORK F LOW
N
Lecture Note 31
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
S OLUTIONS OF L INEAR S YSTEMS OF E QUATIONS
O
Lecture Note 19
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
E IGNEVALUES , E IGENVECTORS , AND D IAGONALIZA
Lecture Note 18
Dr. Jeff ChakFu WONG
Department of Mathematics
Chinese University of Hong Kong
jwong@math.cuhk.edu.hk
MATH 2510
Linear Algebra and Its Applications
Fall, 2010
Produced by Jeff ChakFu WONG
1
A PPLICATIONS OF R EAL V ECTOR S PACES  QRFAC