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Part A Linear Algebra

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  1. define a field and its characteristic
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  2. define a vector space
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  3. define linear independence, spanning, basis and dimension
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  4. define a linear transformation/map, and an isomorphism
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  5. define a ring and a commutative ring
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  6. define a ring homomorphism and a ring isomorphism
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  7. define an ideal
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  8. what is the division algorithm for polynomials
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  9. what is the first isomorphism theorem (ring form)
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  10. Proposition 2.11. Let a, b ∈ F[x] be non-zero polynomials and let gcd(a, b) = c. Then...
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  11. define minimal polynomial of A
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  12. define characteristic polynomial of A
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  13. define eigenvalue, eigenvector
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  14. define minimal polynomial of T
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  15. define characteristic polynomial of T
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  16. define algebraically closed
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  17. what is the fundamental theorem of algebra
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  18. define an algebraic closure of F
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  19. define quotient space
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  20. First Isomorphism theorem (quotient space form)
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  21. rank-nullity theorem (quotient space form)
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Author
Nat1234
ID
334949
Card Set
Part A Linear Algebra
Description
part a linear algebra
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