Algebra 1B

This class was created by Brainscape user Antoine Blanc. Visit their profile to learn more about the creator.

Decks in this class (17)

Vector Spaces/subspaces
What is a vector space and what p...,
What are conditions for u to be a...,
What is a linear map phi
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,
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,
What is a minimal spanning list
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
What happens if f is a rigid motion,
When is subspace u of v phi invar...,
What is u perp
10  cards
Algebra 2C
What does the spectral theorem state,
What does spectral theorem for re...,
What is spectral theorem for self...
10  cards
Change Of Basis
What is the change of basis matri...,
When are 2 matrices a a equivalent,
When are 2 matrices a a similar
11  cards
Rank Nullity Theorem
What is nullity of linear map,
What is nullity of matrix a,
What is null space of a
8  cards
Direct Sums And Inverses
What is direct sum of vector spac...,
What is dim u x w,
What is dim u w dim u n w
11  cards
Characterisation Of Det
If d is a matrix multilinear and ...,
What is product formula for deter...,
What matrices have same determinant
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,
What is formula for diagonal matr...
8  cards
Inner Product
How do we define dot product in r,
What is dot product in c,
What are properties of dot produc...
10  cards
Orthogonality
What is triangle inequality,
What is parallelogram identity,
When is a list of vectors u1 uk i...
9  cards
QR Decomposition And Orthoganality
What does qr composition theorem ...,
How to compute q and r in practice,
What is definition of orthogonal ...
5  cards
Linear Operators On Inner Product Spaces
What does non degeneracy lemma state,
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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