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Lecture "Linear algebra - Chapter 4: Vector space" provides learners with the knowledge: Definition and examples, linear independence, rank of vectors, basic and dimension, subspaces. Invite you to refer to the disclosures. | Math Dept Faculty of Applied Science HCM University of Technology . Linear Algebra Chapter 4 VECTOR SPACE Instructor Dr. Dang Van Vinh 12 2006 CONTENTS I - Definition and examples II - Linear independence III - Rank of vectors IV - Basic and Dimension V - Subspaces I. The Definition and Examples Eight axioms 1. u v v u 2. u v w u v w 3. There is a zero vector 0 in V such that u 0 u 6. c u v cu cv 0 7. c d u cu du 8. 1u