1 Vector spaces and dimensionality - MIT OpenCourseWare
3. There is a vector 0 ∈ V such that 0+ u = u for all u ∈ V (additive identity). 4. For each v ∈ V there is a u ∈ V such that v + u = 0 (additive inverse). 5. The element 1 ∈ F satisfies 1v = v for all v ∈ V (multiplicative identity). 6.
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