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Linear Algebra 2

Class at Faculty of Mathematics and Physics |
NMAG114

Syllabus

- standard and abstract scalar product, orthogonal basis, Gram-Schmidt orthogonalization,

- orthogonal and unitary mappings and matrices, rotations (especially in 3D), group properties,

- eigenvalues, eigenvectors, diagonalization, Jordan canonical form,

- unitary and orthogonal diagonalization, spectral theorems, singular value decomposition,

- bilinear and quadratic forms, their matrix, orthogonalization, inertia theorem,

- geometry in R3

Annotation

The second introductory lecture in linear algebra for General Mathematics, Financial Mathematics, and Information

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