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23 lines
615 B
Markdown
23 lines
615 B
Markdown
---
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title: "01-Vector-Spaces-and-Subspaces"
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aliases:
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tags:
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- lecture
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- math202
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sr-due: 2022-07-14
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sr-interval: 3
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sr-ease: 250
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---
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- [pdf](https://www.maths.otago.ac.nz/webdata/resources/math202/2022_S2_Outline_Notes/Ch1.pdf?m=1657334841)
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- a vector space is a set whose elements conform to the eight axioms of scaling and additiveness
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- e.g.,
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- ℝ², ℝ³, P₃
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- In this course we focus on three main vector spaces
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- ℝⁿ, Pₙ, $M_{m\times n}$
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- a vector subspace is a subset of a vector space whose elements (which are vectors) are additively and multipicatively closed and contain the zero vector
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