線性代數(一) Linear Algebra I

線性代數(一) Linear Algebra I

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矩陣理論或線性代數在自然科學、工程領域、社會科學及其他數學分支皆有具體且廣泛的應用價值。本課程的目的有二：一為訓練學生能對線性代數 (矩陣) 的理論基礎有深入的瞭解，二為透過在不同領域的應用體會到此科目的的應用力量。本課預計上學期介紹 1. Vector Space; 2. Linear Transformation and Matrices; 3. Elementary Matrix Operators and Systems of Linear Equations; 4. Determinants。下學期介紹： 5. Diagonalization; 6. Inner product sp…

應用數學系莊重老師

Nov 11, 2015 LATEST EPISODE
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1h 29m AVG DURATION
25 EPISODES

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Latest episodes from 線性代數(一) Linear Algebra I

(講義) 第一章 Vector Space (向量空間)

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(講義) 第二章 Linear Transformation and Matrices

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transformation linear matrices

(講義) 第三章 Elementary Matrix Operators and Systems of Linear Equations

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matrix elementary linear operators equations

(講義) 第四章 Determinants

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1.1 Introduction

Play Episode Listen Later Nov 11, 2015 35:22

第一章 Vector Space

2.1 Linear Transformations, Null spaces, and ranges

Play Episode Listen Later Nov 11, 2015 196:44

第二章 Linear Transformations and Matrices

spaces null transformations linear ranges matrices

4.2 Determinants of Order w

Play Episode Listen Later Nov 11, 2015 135:23

1.6 Bases and Dimension (基底和維度)

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dimension bases

4.3 Properties of Determinants

Play Episode Listen Later Nov 11, 2015 77:11

properties determinants

4.5 A Characterization of the Determinant

Play Episode Listen Later Nov 11, 2015 41:42

characterization determinant

4.2 Determinants of Order w-補充

Play Episode Listen Later Nov 11, 2015 44:59

4.4 Summary-Important Facts About Determinants

Play Episode Listen Later Nov 11, 2015 7:17

4.1 Determinants of Order 2

Play Episode Listen Later Nov 11, 2015 55:45

第四章 Determinants

3.4 Systems of Linear Equations-Computational Aspects

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aspects linear computational equations

2.5 The Change of Coordinate Matrix

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matrix coordinate

3.1 Elementary Matrix Operations and Elementary Matrices

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第三章 Elementary Matrix Operations and Systems of Linear Equations

matrix operations elementary matrices

3.2 The Rank of a Matrix and Matrix Inverses

Play Episode Listen Later Nov 11, 2015 143:14

matrix rank inverses

3.3 Systems of Linear Equations-Theoretical Aspects

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aspects linear theoretical equations

2.3 Composition of Linear Transformation and Matrix Multiplication

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transformation matrix composition multiplication linear

2.4 Invertibility and Isomorphisms

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1.5 Linear Dependence and Linear Independence

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independence linear

1.4 Linear Combinations and Systems of Linear Equations

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linear combinations equations

2.2 The Matrix Representation of a Linear Transformation

Play Episode Listen Later Nov 11, 2015 70:41

transformation matrix representation linear

1.2 Vector Space

Play Episode Listen Later Nov 11, 2015 111:33

1.3 Subspaces(子空間)

Play Episode Listen Later Nov 11, 2015 70:51

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