Ch 1 Vector
UTG
Table of contents
Ch1 Part I Vector
CPE 332Computer Engineering Mathematics II
Web Site
Today Topics
Slide Number 4
CPE 332 T1-57 Wk1
Definition of Vector
Definition of Vector
Slide Number 8
Slide Number 9
Notes
Vector Operations
Addition and Substraction
Slide Number 13
Slide Number 14
การประยุกต์ใช้ใน Plane Geometry
Slide Number 16
Slide Number 17
Slide Number 18
Component Vector
Component Vector in Cartesian Coordinate
Component Vector in Cartesian Coordinate
Component Vector in Cartesian Coordinate
Position Vector
Position Vector และAddition-Subtraction using Component Vector
สรุป
Slide Number 26
Any vectors in Cartesian Coordinates
Any vectors in Cartesian Coordinates
Direction Cosine/Ratio
Direction Cosine
Direction Cosine and Direction Ratio
Direction Cosine and Direction Ratio
Example
Direction Cosine and Direction Ratio
Next Week
CPE 332Computer Engineering Mathematics II
Web Site
Today Topics
Slide Number 4
CPE 332 T1-57 Wk1
Definition of Vector
Definition of Vector
Slide Number 8
Slide Number 9
Notes
Vector Operations
Addition and Substraction
Slide Number 13
Slide Number 14
การประยุกต์ใช้ใน Plane Geometry
Slide Number 16
Slide Number 17
Slide Number 18
Component Vector
Component Vector in Cartesian Coordinate
Component Vector in Cartesian Coordinate
Component Vector in Cartesian Coordinate
Position Vector
Position Vector และAddition-Subtraction using Component Vector
สรุป
Slide Number 26
Any vectors in Cartesian Coordinates
Any vectors in Cartesian Coordinates
Direction Cosine/Ratio
Direction Cosine
Direction Cosine and Direction Ratio
Direction Cosine and Direction Ratio
Example
Direction Cosine and Direction Ratio
Next Week
Ch1 Part II Vector Operations
CPE 332Computer Engineering Mathematics II
Today Topics
Component Vector
Component Vector in Cartesian Coordinate
Component Vector in Cartesian Coordinate
Position Vector
Position Vector และAddition-Subtraction using Component Vector
Any vectors in Cartesian Coordinates
Direction Cosine/Ratio
Direction Cosine
Products of Vectors
Scalar Product(DOT)
Scalar Product (DOT)
Scalar(Dot) Product
Scalar(Dot) Product
DOT Product
Example
Vector Product (Cross)
Cross Product
Slide Number 20
3 Vector Products
Examples
Plane Equation in 3D
Example 1
Slide Number 25
Example 2
Slide Number 27
Definition of Matrix
Row Matrix, Column Matrix
Basic Operations
Matrix Multiplication
Square Matrix
Matrix Transpose
Types of Matrix
Types of Matrix
Types of Matrix
Types of Matrix
Types of Matrix
Matrix Inverse
Orthogonal/Unitary Matrix
Orthogonal Vector
Orthogonal Vector
Examples
Examples
Examples
Examples
Examples
Examples
Determinant
Determinant of Matrix
Sign Matrix
Minor aij
Cofactor aij
Determinant of 2x2 and 3x3
Calculation of Determinant using Recursive Expansion
Calculation of Determinant using Recursive Expansion
ความหมายของ Determinant
คุณสมบัติของ Determinant
คุณสมบัติของ Determinant
Calculation of Determinant (Algorithm)
Algorithm การหา Determinant ที่มีประสิทธิภาพ
Algorithm การหา Determinant ที่มีประสิทธิภาพ(ต่อ)
การหา Determinant
Slide Number 64
การหา Determinant
Inverse of Matrix
Inverse of Matrix
Inverse of Matrix
Inverse of Matrix
Inverse of Matrix
Matrix Inverse
Matrix Norms
Norms
Homework 1:Vector
CPE 332Computer Engineering Mathematics II
Today Topics
Component Vector
Component Vector in Cartesian Coordinate
Component Vector in Cartesian Coordinate
Position Vector
Position Vector และAddition-Subtraction using Component Vector
Any vectors in Cartesian Coordinates
Direction Cosine/Ratio
Direction Cosine
Products of Vectors
Scalar Product(DOT)
Scalar Product (DOT)
Scalar(Dot) Product
Scalar(Dot) Product
DOT Product
Example
Vector Product (Cross)
Cross Product
Slide Number 20
3 Vector Products
Examples
Plane Equation in 3D
Example 1
Slide Number 25
Example 2
Slide Number 27
Definition of Matrix
Row Matrix, Column Matrix
Basic Operations
Matrix Multiplication
Square Matrix
Matrix Transpose
Types of Matrix
Types of Matrix
Types of Matrix
Types of Matrix
Types of Matrix
Matrix Inverse
Orthogonal/Unitary Matrix
Orthogonal Vector
Orthogonal Vector
Examples
Examples
Examples
Examples
Examples
Examples
Determinant
Determinant of Matrix
Sign Matrix
Minor aij
Cofactor aij
Determinant of 2x2 and 3x3
Calculation of Determinant using Recursive Expansion
Calculation of Determinant using Recursive Expansion
ความหมายของ Determinant
คุณสมบัติของ Determinant
คุณสมบัติของ Determinant
Calculation of Determinant (Algorithm)
Algorithm การหา Determinant ที่มีประสิทธิภาพ
Algorithm การหา Determinant ที่มีประสิทธิภาพ(ต่อ)
การหา Determinant
Slide Number 64
การหา Determinant
Inverse of Matrix
Inverse of Matrix
Inverse of Matrix
Inverse of Matrix
Inverse of Matrix
Matrix Inverse
Matrix Norms
Norms
Homework 1:Vector
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