Linear Algebra Review and Matlab Tutorial

1
Linear Algebra Review and Matlab Tutorial

• ZHENG Haomian
• Department of Computing
• Hong Kong Polytechnic University

2
Personal Information

• PHD student in Dept. of Computing
• Supervised by Dr. Zhu LI
• Research Interest
• Video Analysis and Searching
• Video Biometrics
• Pattern Recognition and Computer Vision
• Personal Website
• http//www.comp.polyu.edu.hk/cshmzheng/

3
Contract Info.

• Office PQ 713b
• Tel [phone]
• E-mail cshmzheng_at_comp.polyu.edu.hk
• Office Hour Tuesday/Thursday 400530p.m
• Appointment is strongly recommended

4
Outline

• Review Basic Knowledge of Linear Algebra
• Matlab Tutorial and Demo

5
Basic Knowledge in Linear Algebra

• Vectors and Matrix
• Operations Transpose, Inverse
• Computation Add/Sub, Multiply, Product
• Determinant
• How to Solve a Group of Linear Equations?
• Eigenvalue/Eigen Vectors

6
Vector and Matrix

• Example
• A 5 2 B 3 1
• Related Matlab Operations
• Assignment, size, length
• Add/subtraction
• Transposition
• Special matrix zeros, ones, magic, unit

7
Product

• Inner Product (dot Product)
• A.B
• Outer Product (cross Product)
• AB
• Demo Example
• A1, 4, 6 B2 2 1

8
Determinant

• Demo Example

9
Inverse Matrix

• Definition
• Find A-1 that satisfy
• Demo Example

10
Linear Equation Solution

• Example
• By Determinant Approach
• By Inverse Matrix Approach

11
EigenValue

• Definition
• Find a that Satisfy
• X is called eigenvector and is called
  eigenvalue
• Demo Example

12
Thank You