Checking Vector Space Axioms of a Special Vector Space
In this video we will verify or disprove all 8 vector space axioms with the help of a vector space with a special scalar multiplication.
ā° Timeline 00:00 Exercise 00:43 (1) Commutativity of addition 01:15 (2) Associativity of addition 01:52 (3) Zero vector 02:16 (4) Negation 02:52 (5) Associativity of scalar multiplication 04:40 (6) Multiplication with 1 05:08 (7) Distributivity in vector space 06:11 (8) Distributivity in field 07:08 Conclusion
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