Math Dept, Faculty of Applied Science, HCM
University of Technology

Linear Algebra
Chapter 2: DETERMINANT
Instructor Dr. Dang Van Vinh (6/2006)
CONTENTS

I The Determinant of Matrix
II Properties of Determinant
III Laplaces Expansion
I. The Determinan
Math Dept, Faculty of Applied
Science, HCM University of
Technology

Linear Algebra
Chapter 2: DETERMINANT
Instructor Dr. Dang Van Vinh (6/2006)
CONTENTS

I The Determinant of Matrix
II Properties of Determinant
III Laplaces Expansion
I. The Determinan
Hochiminh city University of Technology
Department of Applied Mathematics.
Final Examination
Math Test 4. TIME ALLOWED: 90
Subject: Linear Algebra.
No books allowed.
3 1
1 4
, B 5 .
2 1
2
B
1/ Find the matrix X such that AX X 2X I , where A
2 2 1
Hochiminh city University of Technology
Department of Applied Mathematics.
Final Examination
Maht Test 3
TIME ALLOWED: 90
Subject: Linear Algebra.
No books allowed.
6 1 1
1 2 2
1/ Find the matrix X such that AX 2 A B 3 X , where A 2 7 2 , B 4 1 3 .
1 1
Hochiminh city University of Technology
Department of Applied Mathematics.
Final Examination
Math Test 2.
TIME ALLOWED: 90
Subject: Linear Algebra. No books allowed.
3
2
A
1/ Find all real value(s) m such that the matrix
5
2
2/ Let F x1 , x2 , x3 R3 x1
Hochiminh city University of Technology
Department of Applied Mathematics.
Final Examination
Math Test 1.
TIME ALLOWED: 90
Subject: Linear Algebra. No books allowed.
3 1
1 2
1/ Find the matrix X such that XA 2 B BX A , where A
, B
.
2 4
1 1
1
2
A
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Math Dept, Faculty of Applied Science, HCM
University of Technology

Linear Algebra
Chapter 6: Eigenvalues and Eigenvectors
Instructor Dr. Dang Van Vinh (1/2007)
CONTENTS

I Eigenvalues and eigenvectors
II A diagonalization
III Eigenvectors and linear
Math Dept, Faculty of Applied Science, HCM
University of Technology

Linear Algebra
Chapter 6: Eigenvalues and Eigenvectors
Instructor Dr. Dang Van Vinh (1/2007)
CONTENTS

I Eigenvalues and eigenvectors
II A diagonalization
III Eigenvectors and linear
Math Dept, Faculty of Applied Science, HCM
University of Technology

Subject: Linear Algebra
Chapter 5: Linear transformation
Instructor Dr. Dang Van Vinh (12/2006)
1
CONTENTS

I Definition and examples
II The Kernel and Image of linear transformation
Math Dept, Faculty of Applied Science, HCM
University of Technology

Linear Algebra
Chapter 4: VECTOR SPACE
Instructor Dr. Dang Van Vinh (12/2006)
CONTENTS

I Definition and examples
II Linear independence
III Rank of vectors
IV Basic and Dimension
V S
Math Dept, Faculty of Applied Science, HCM
University of Technology

Linear Algebra
Chapter 4: VECTOR SPACE (cont.)
Instructor Dr. Dang Van Vinh (12/2006)
CONTENTS

I Coordinates of a vector
II Subspaces
III The intersection and sum of subspaces
I.
Coo
Math Dept, Faculty of Applied Science, HCM
University of Technology

Chapter 3: Systems of Linear Equations
Instructor Dr. Dang Van Vinh (11/2006)
CONTENTS

I Systems of Linear Equations
II Homogeneous system
I. Systems of Linear Equations

Definition
Computer system
2
Presentation
Group members:
Vien Ngoc Quang ILI13161
Bui Nguyen Khuong Duy ILI13038
Huynh Nhat Thanh ILI13183
Lecturer:
Truong Quang Vinh
Give examples for Inheritance
and Polymorphism and explain
them
T
odays topics
Inheritance
Polymorp