Algebra 1B

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Decks in this class (17)

Vector Spaces/subspaces
What is a vector space and what p...,
What are conditions for a subset ...,
What is a linear map psi 3
13  cards
Vector Spaces And Subspaces 2
What is an example of a basis bei...,
When is a list v1 vn a basis of v 2,
What is the coordinate vector l o...
12  cards
Maximal L.I Lists And Minimal Spanning Lists
What does it mean if alpha is a b...,
What is a maximal li list 2,
What is a minimal spanning list 3
9  cards
Adjoints And Matrices
What does v have if it is a finit...,
When is phi adjoint of phi set of...,
If phi is represented by matrix a...
10  cards
Linear Operators 2
When is f distance preserving 1,
When is subspace u of v phi invar...,
What is u perp 3
10  cards
Algebra 2C
What does the spectral theorem st...,
If v is an ip space and linear op...,
If v is a real ip and phi is self...
10  cards
Change Of Basis
What is the change of basis matri...,
When are 2 matrices a a equivalent 2,
When are 2 matrices a a similar 3
11  cards
Rank Nullity Theorem
What is nullity of linear map 1,
What is nullity of matrix a 2,
What is null space of a 3
8  cards
Direct Sums And Inverses
What is direct sum of vector spac...,
What is dim u x w 2,
What is dim u w dim u n w 3
11  cards
Characterisation Of Det
If d is a matrix multilinear and ...,
What is product formula for deter...,
What matrices have same determina...
7  cards
Eigenvalues And Characteristic Polynomials
What are eigenvectors and eigenva...,
If matrix a is invertible what ar...,
What is an eigenvalue and eigenve...
9  cards
Diagonalisation
When is a linear operator phi dia...,
When is a matrix a diagonalisable 2,
What is formula for diagonal matr...
8  cards
Inner Product
How do we define dot product in r 1,
What is dot product in c 2,
What are properties of dot product 3
10  cards
Orthogonality
What is triangle inequality 1,
What is parallelogram identity 2,
When is a list of vectors u1 uk i...
9  cards
QR Decomposition And Orthoganality
What does qr decomposition theore...,
How to compute q and r in practice 2,
What is definition of orthogonal ...
5  cards
Linear Operators On Inner Product Spaces
What does non degeneracy lemma st...,
What is adjoint of phi o psi and ...,
When does phi have unique adjoint...
7  cards
Singular Value Decomposition
If phi is a linear operator in a ...,
If phi is a linear operator what ...,
What does singular value decompos...
3  cards

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Algebra 1B

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