18 lines
539 B
Markdown
18 lines
539 B
Markdown
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# Field
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- Set on which addition and multiplication defined
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- Behave same as on rational and real numbers
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- Subtraction, division implied
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- Examples
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- Rational numbers
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- Real numbers
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- Complex numbers
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- Any field can be used as scalars for a vector space
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- A commutative ring where 0 =/= 1 and all nonzero elements are invertible
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## Vector Space
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- Set of vectors
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- Can be added together and multiplied by scalar
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- Can be scaled by complex numbers
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- Part of definitions
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- Must satisfy vector axioms
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