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Course Details - Vector Spaces
Instructor:
Simerdeep Singh
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Topics
In this course, we will cover vector spaces, subspaces, span of vectors, bases, linear maps, eigenvalues, eigenvectors, inner product spaces, and many more topics.
Sample of Vector Spaces
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1 Category1
1.1 Group1
1.1.1 Course Information
1.1.1.1 Teacher
1.1.1.2 YouTube Playlist
1.1.1.3 Prerequisites
1.1.1.4 Algebraic Structures
1.1.1.5 Topics
1.1.1.6 Proof-Heavy
1.1.1.7 Truths
1.1.1.8 Feedback
1.1.1.9 Financial Support
1.1.1.10 Care for Children
1.1.1.11 Best Wishes
1.1.2 Sets
1.1.2.1 Sets
1.1.2.2 Cardinality
1.1.2.3 Some Commonly Used Sets
1.1.2.4 Subset and Superset
1.1.2.5 Equal Sets
1.1.2.6 Complement
1.1.2.7 Union
1.1.2.8 Intersection
1.1.2.9 Collection of Sets
1.1.2.10 Partitioning of Set
1.1.2.11 Cartesian Product of n Copies of a Set
1.1.2.12 Truth
1.1.2.13 List
1.1.3 Functions
1.1.3.1 Introduction
1.1.3.2 Remarks
1.1.3.3 Domain, Codomain and Range
1.1.3.4 Image and Preimage
1.1.3.5 Ill-Defined Functions
1.1.3.6 Exercise
1.1.3.7 Injection, Surjection and Bijection
1.1.3.8 Identity Function
1.1.3.9 Equal Functions
1.1.3.10 Exercise
1.1.3.11 Composition
1.1.3.12 Associativity
1.1.3.13 Exercise
1.1.3.14 Left Inverse
1.1.3.15 Exercise
1.1.3.16 Exercise
1.1.3.17 Exercise
1.1.3.18 Exercise
1.1.3.19 Right Inverse
1.1.3.20 Exercise
1.1.3.21 Exercise
1.1.3.22 Exercise
1.1.3.23 Exercise
1.1.4 Groups
1.1.5 Rings
1.1.6 Fields
1.1.6.1 Field Axioms
1.1.6.2 Remarks
1.1.6.3 Truths
1.1.6.4 Exercise
1.1.6.5 Exercise
1.1.6.6 Exercise
1.1.6.7 Exercise
1.1.6.8 Exercise
1.1.6.9 Exercise
1.1.6.10 Field Examples
1.1.6.11 Exercise
1.1.6.12 Exercise
1.1.7 Vector Spaces
1.1.7.1 Introduction
1.1.7.2 Axioms
1.1.7.3 Remarks
1.1.7.4 Truths
1.1.7.5 Exercise
1.1.7.6 Exercise
1.1.7.7 Exercise
1.1.7.8 Exercise
1.1.7.9 Truths
1.1.7.10 Exercise
1.1.7.11 Exercise
1.1.7.12 Exercise
1.1.8 Subspaces
1.1.8.1 Sum of Subsets
1.1.8.2 Truths
1.1.8.3 Exercise
1.1.9 Linear Combination of Vectors
1.1.9.1 Introduction
1.1.9.2 Truth
1.1.10 Linear Combination of Vectors..based on ch 2 of Alex
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