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Antoine Blanc
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Decks in this class (21)
Vector Spaces
What is a vector space 1,
What are properties of an abelian...,
What are examples of vector spaces 3
10
cards
Albegra 1B
When is v finite dimensional 1,
What is dim v 2,
When is a list of vectors a basis 3
12
cards
Vector Spaces 3
What is notation l v w 1,
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 pr...,
When is phi from linearity prop a...
6
cards
Sums And Direct Sums
What is sum of subspaces v1 vk v 1,
What is sum of subspaces v1 vk an...,
What is a direct sum 3
10
cards
Direct Sums 2
If v v1 o v2 then what is dim v 1,
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 1,
What is a coset 2,
What is the fibre of a point 3
9
cards
Polynomials
What is a polynomial 1,
What is degree of 0 polynomial 2,
When is a polynomial monic 3
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 1,
What is l eigenspace 2,
What is characteristic polynomial 3
10
cards
Structure Of Linear Operators
When are matrices a b similar 1,
What is a nice matrix 2,
When is a matrix a diagonalisable 3
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 phi gphi li restriction...
4
cards
Jordan Boocks
What is a jordan block j l n 1,
What s jn 2,
What are ker jn k and im jn k 3
10
cards
Jordan Blocks 2
What do all nilpotent operators o...,
What is m phi 2,
What is a jordan basis 3
8
cards
Duality
What is a dual space v of v vecto...,
What is alpha v1 lv2 2,
What are properties of v 3
13
cards
Duality 2
What is dim annu u 1,
What are properties of annihilato...,
What do ann and sol do 3
11
cards
Transpose 2/bilinear Maps
What is dim sol im phi t 1,
What is rank phi 2,
When does linear map phi inject a...
10
cards
Synmetric Bilinear Forms
When are matrices a b congruent 1,
When is a bilinear form b symmetr...,
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 and is it linear 1,
What is b polarisation of q 2,
What is the signature of q 3
4
cards
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Algebra 2A
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