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FEKT-MPC-MATAcad. year: 2024/2025
Matrices as algebraic structure. Matrix operations. Determinant. Matrices in systems of linear algebraic equations. Vector space, its basis and dimension. Coordinates and their transformation. Sum and intersection of vector spaces. Linear mapping of vector spaces and its matrix representation. Inner (dot) product, orthogonal projection and the best approximation element. Eigenvalues and eigenvectors. Spectral properties of (especially Hermitian) matrices. Bilinear and quadratic forms. Definitness of quadratic forms. Linear forms and tensors. Verious types of coordinates. Covariant, contravariant and mixed tensors. Tensor operations. Tensor and wedge products.Antilinear forms. Matrix formulation of quantum. Dirac notation. Bra and Ket vectors. Wave packets as vectors. Hermitian linear operator. Schrodinger equation. Uncertainty Principle and Heisenberg relation. Multi-qubit systems and quantum entaglement. Einstein-Podolsky-Rosen experiment-paradox. Quantum calculations. Density matrix. Quantum teleportation.
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specialization AUDM-TECH , 1 year of study, summer semester, compulsory-optionalspecialization AUDM-ZVUK , 1 year of study, summer semester, compulsory-optional
specialization NGRI , 0 year of study, summer semester, electivespecialization NADE , 0 year of study, summer semester, electivespecialization NISD , 0 year of study, summer semester, electivespecialization NMAT , 0 year of study, summer semester, electivespecialization NSEC , 0 year of study, summer semester, electivespecialization NISY up to 2020/21 , 0 year of study, summer semester, electivespecialization NNET , 0 year of study, summer semester, electivespecialization NMAL , 0 year of study, summer semester, electivespecialization NCPS , 0 year of study, summer semester, electivespecialization NHPC , 1 year of study, summer semester, compulsoryspecialization NVER , 0 year of study, summer semester, electivespecialization NIDE , 0 year of study, summer semester, electivespecialization NISY , 0 year of study, summer semester, electivespecialization NEMB , 0 year of study, summer semester, electivespecialization NSPE , 0 year of study, summer semester, electivespecialization NEMB , 0 year of study, summer semester, electivespecialization NBIO , 0 year of study, summer semester, electivespecialization NSEN , 0 year of study, summer semester, electivespecialization NVIZ , 0 year of study, summer semester, elective
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