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Antoine Blanc
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Decks in this class (21)
Vector Spaces
What is a vector space,
What are properties of an abelian...,
What are examples of vector spaces
10
cards
Albegra 1B
When is v finite dimensional,
What is dim v,
When is a list of vectors a basis
12
cards
Vector Spaces 3
What is notation l v w,
When is l v w a vector space unde...,
How can a linear map be represent...
4
cards
Extension By Linearity
What is a linear map uniquely det...,
What is extension of linearity prop,
When is
6
cards
Sums And Direct Sums
What is sum of subspaces v1 vk v,
What is sum of subspaces v1 vk an...,
What is a direct sum
10
cards
Direct Sums 2
If v v1 o v2 then what is dim v,
What is dim v1 o o vk for v1 vk d...,
If v1 v2 have bases b1 v1 vk and ...
5
cards
Quotients
What is an affine subspace,
What is a coset,
What is the fibre of a point
9
cards
Polynomials
What is a polynomial,
What is degree of 0 polynomial,
When is a polynomial monic
10
cards
Linear Operators/matrices
What is a linear operator endomor...,
How can we write phi v as a matri...,
How do we define multiplication o...
11
cards
Eigenvalues
What is an eigenvalue,
What is l eigenspace,
What is characteristic polynomial
10
cards
Structure Of Linear Operators
When are matrices a b similar,
What is a nice matrix,
When is a matrix a diagonalisable
11
cards
Structure Of Linear Operators 2
If vi v with v v1 o o vk and phi ...,
If vi v with v v1 o o vk and phi ...,
When is linear operator phi diago...
15
cards
Nipotent Operators
When is linear operator phi nilpo...,
What is am l for a linear operato...,
Set phi i phigphi li restriction ...
4
cards
Jordan Boocks
What is a jordan block j l n,
What s jn,
What are ker jn k and im jn k
10
cards
Jordan Blocks 2
What do all nilpotent operators o...,
What is m phi,
What is a jordan basis
8
cards
Duality
What is a dual space v of v vecto...,
What is alpha v1 lv2,
What are properties of v
13
cards
Duality 2
What is dim annu u,
What are properties of annihilato...,
What do ann and sol do
11
cards
Transpose 2/bilinear Maps
What is dim sol im phi t,
What is rank phi,
When does linear map phi inject a...
10
cards
Synmetric Bilinear Forms
When are matrices a b congruent,
When is a bilinear form b symmetric,
What is rad b of b and when is b ...
10
cards
Classification Of Symmetric Bilinear Forms
What is symmetric bilinear form b...,
What does the diagonalisable theo...,
If a is a square symmetric matrix...
8
cards
Quadratic Forms
What is q v,
What is b polarisation of q,
What is the signature of q
4
cards
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Algebra 2A
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