Forskjeller
Her vises forskjeller mellom den valgte versjonen og den nåværende versjonen av dokumentet.
tma4145:2019h:topics [2019-07-12] franzl opprettet |
tma4145:2019h:topics [2019-11-25] (nåværende versjon) franzl [Finite-dimensional vectors spaces and linear transformations] |
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Linje 37: | Linje 37: | ||
* Linear transformations and matrices, rank of a linear transformation, | * Linear transformations and matrices, rank of a linear transformation, | ||
* Change-of-basis matrix and similar matrices | * Change-of-basis matrix and similar matrices | ||
- | * Eigenvalues, | + | * Eigenvalues, |
- | * Caley-Hamilton theorem | + | |
- | * Jordan normal form and its application to linear systems of ODE | + | |
* Adjoint of an operator. Self-adjoint, | * Adjoint of an operator. Self-adjoint, | ||
- | * Spectral theorem for self-adjoint | + | * Spectral theorem for normal |
- | * LU decomposition | + | * Schur triangulization lemma |
* SVD-decomposition and pseudoinverse | * SVD-decomposition and pseudoinverse | ||
- | * QR-decomposition | + | |
- | * Power series of operators | + | |
===== Metric spaces ===== | ===== Metric spaces ===== |