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Part A Linear Algebra
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define a field and its characteristic
define a vector space
define linear independence, spanning, basis and dimension
define a linear transformation/map, and an isomorphism
define a ring and a commutative ring
define a ring homomorphism and a ring isomorphism
define an ideal
what is the division algorithm for polynomials
what is the first isomorphism theorem (ring form)
Proposition 2.11. Let a, b ∈ F[x] be non-zero polynomials and let gcd(a, b) = c. Then...
define minimal polynomial of A
define characteristic polynomial of A
define eigenvalue, eigenvector
define minimal polynomial of T
define characteristic polynomial of T
define algebraically closed
what is the fundamental theorem of algebra
define an algebraic closure of F
define quotient space
First Isomorphism theorem (quotient space form)
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
Updated
2017-10-18T13:52:40Z
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