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工程數學 Chapter 6 Linear Algebra Matrices , vectors , Determinants

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Presentation on theme: "工程數學 Chapter 6 Linear Algebra Matrices , vectors , Determinants"— Presentation transcript:

1 工程數學 Chapter 6 Linear Algebra Matrices , vectors , Determinants
and linear system of Eqs. 楊學成 老師

2 單元架構 6-1 Matrix Addition , Scalar Multiplication
6-2 Matrix Multiplication 6-3 Gauss Elimination 6-4 Rank of a Matrix , Linear Independence vector space . 6-5 Solutions of Linear systems 6-6 Cramer’s Rule 6-7 inverse of a Matrix

3 6.1 Matrix Addition , Scalar Multiplication
學習目標 學習完本小節後,您將能: 1. 能具備矩陣加法運算能力 2. 能說明Matrix Addition , Scalar Multiplication基 本原理 3. 能進行Matrix Addition , Scalar Multiplication運算

4 Basic Concept

5 Basic Concept

6 Basic Concept

7 Basic Concept

8 Basic Concept

9 Basic Concept

10 Basic Concept

11 6.2 Matrix Multiplication
學習目標 學習完本小節後,您將能: 1. 能理解Matrix Multiplication 2. 能具備Matrix Multiplication 之解題能力 3. 能進行Matrix Multiplication運算

12 Basic Concept

13 Basic Concept

14 Basic Concept

15 Basic Concept

16 Basic Concept

17 Basic Concept

18 6.3 Gauss Elimination 學習完本小節後,您將能: 1. 能理解Gauss Elimination
學習目標 學習完本小節後,您將能: 1. 能理解Gauss Elimination 2. 能說明Gauss Elimination 基本定義 3. 能進行Gauss Elimination基本運算

19 Basic Concept

20 Basic Concept

21 6.4 Rank of a Matrix , Linear Independence vector space .
學習目標 學習完本小節後,您將能: 1. 能說出Linear Independence vector space. 2. 能具體描述Linear Independence vector space 3. 能進行Rank of a Matrix , Linear Independence vector space .運算

22 Basic Concept

23 Basic Concept

24 Basic Concept

25 Basic Concept

26 Basic Concept

27 6.5 Solutions of Linear systems
學習目標 學習完本小節後,您將能: 1. 具有Solutions of Linear systems 2. 能解出Linear systems 基本方程 3. 能進行Solutions of Linear systems運算

28 Basic Concept

29 Basic Concept

30 6.6 Cramer’s Rule 學習完本小節後,您將能: 1. 能說明何謂Cramer’s Rule
學習目標 學習完本小節後,您將能: 1. 能說明何謂Cramer’s Rule 2. 能具體描述Cramer’s Rule 3. 能進行Cramer’s Rule相關式子運算

31 Basic Concept

32 Basic Concept

33 6.7 inverse of a Matrix 學習完本小節後,您將能: 1. 能說出inverse of a Matrix概念
學習目標 學習完本小節後,您將能: 1. 能說出inverse of a Matrix概念 2. 能具體描述inverse of a Matrix 3. 能進行inverse of a Matrix式子運算

34 Basic Concept

35 Basic Concept

36 Basic Concept

37 Basic Concept

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40 Basic Concept


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