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FEKT-MMATAcad. year: 2019/2020
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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Classification of course in study plans
branch MBI , any year of study, summer semester, electivebranch MPV , any year of study, summer semester, electivebranch MGM , any year of study, summer semester, electivebranch MSK , any year of study, summer semester, electivebranch MIS , any year of study, summer semester, electivebranch MBS , any year of study, summer semester, electivebranch MIN , any year of study, summer semester, electivebranch MMI , any year of study, summer semester, electivebranch MMM , any year of study, summer semester, elective
specialization NADE , any year of study, summer semester, electivespecialization NBIO , any year of study, summer semester, electivespecialization NGRI , any year of study, summer semester, electivespecialization NNET , any year of study, summer semester, electivespecialization NVIZ , any year of study, summer semester, electivespecialization NCPS , any year of study, summer semester, electivespecialization NSEC , any year of study, summer semester, electivespecialization NEMB , any year of study, summer semester, electivespecialization NISD , any year of study, summer semester, electivespecialization NIDE , any year of study, summer semester, electivespecialization NISY , any year of study, summer semester, electivespecialization NMAL , any year of study, summer semester, electivespecialization NMAT , any year of study, summer semester, electivespecialization NSEN , any year of study, summer semester, electivespecialization NVER , any year of study, summer semester, electivespecialization NSPE , any year of study, summer semester, elective
branch P-AUD , 1. year of study, summer semester, optional interdisciplinary
branch M1-TIT , 1. year of study, summer semester, theoretical subjectbranch M1-KAM , 1. year of study, summer semester, theoretical subjectbranch M1-EVM , 1. year of study, summer semester, theoretical subjectbranch M1-EST , 1. year of study, summer semester, theoretical subjectbranch M1-SVE , 1. year of study, summer semester, theoretical subjectbranch M1-EEN , 1. year of study, summer semester, theoretical subject
branch V-IBP , 1. year of study, summer semester, compulsory
specialization NHPC , 1. year of study, summer semester, compulsory
branch P-AUD , 2. year of study, summer semester, optional interdisciplinary
branch ET-CZV , 1. year of study, summer semester, theoretical subject
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