1.6 Bases and Dimension (基底和維度)

週次課程內容課程影音
第一章 Vector Space
1.1 Introduction
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1.2 Vector Space線上觀看
1.3 Subspaces(子空間)線上觀看
1.4 Linear Combinations and Systems of Linear Equations線上觀看
1.5 Linear Dependence and Linear Independence線上觀看
1.6 Bases and Dimension (基底和維度)線上觀看
第二章 Linear Transformations and Matrices
2.1 Linear Transformations, Null spaces, and ranges
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2.2 The Matrix Representation of a Linear Transformation線上觀看
2.3 Composition of Linear Transformation and Matrix Multiplication線上觀看
2.4 Invertibility and Isomorphisms
※詳見勘誤表-1
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2.5 The Change of Coordinate Matrix線上觀看
第三章 Elementary Matrix Operations and Systems of Linear Equations
3.1 Elementary Matrix Operations and Elementary Matrices
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3.2 The Rank of a Matrix and Matrix Inverses線上觀看
3.3 Systems of Linear Equations-Theoretical Aspects線上觀看
3.4 Systems of Linear Equations-Computational Aspects線上觀看
第四章 Determinants
4.1 Determinants of Order 2
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4.2 Determinants of Order w線上觀看
4.2 Determinants of Order w-補充線上觀看
4.3 Properties of Determinants線上觀看
4.4 Summary-Important Facts About Determinants線上觀看
4.5 A Characterization of the Determinant線上觀看