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tma4145:2019h:topics [2019-07-12]
franzl opprettet 		tma4145:2019h:topics [2019-11-25] (nåværende versjon)
franzl [Finite-dimensional vectors spaces and linear transformations]
Linje 37: Linje 37:
   * Linear transformations and matrices, rank of a linear transformation, nullity-rank theorem   * Linear transformations and matrices, rank of a linear transformation, nullity-rank theorem
   * Change-of-basis matrix and similar matrices   * Change-of-basis matrix and similar matrices
-  * Eigenvalues, eigenspaces and generalized eigenspaces +  * Eigenvalues, eigenspaces, characteristic polynomial
-  * Caley-Hamilton theorem +
-  * Jordan normal form and its application to linear systems of ODE+
   * Adjoint of an operator. Self-adjoint, normal, positive definite and unitary operators   * Adjoint of an operator. Self-adjoint, normal, positive definite and unitary operators
-  * Spectral theorem for self-adjoint operators  +  * Spectral theorem for normal operators 
-  * LU decomposition+  * Schur triangulization lemma 
   * SVD-decomposition and pseudoinverse   * SVD-decomposition and pseudoinverse
-  * QR-decomposition +
-  * Power series of operators+
    
 ===== Metric spaces ===== ===== Metric spaces =====
2019-11-25, Franz Luef