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sisvu:academicYear 2004 (xsd:int)
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sisvu:description Matrice. Rang matrice. Inverzna matrica. Linearni sustavi. Gaussova metoda. Vektori. Operacije s vektorima. Skalarni, vektorski i mješoviti umnožak. Analitička geometrija prostora. Pravac i ravnina. Vektorski prostori. Linearni operatori. Svojstveni vektori i vrijednosti. Dijagonalizacija operatora. Karakteristični polinom. Hamilton-Cayleyev teorem. Skalarni umnožak, norma. Unitarni prostori. Gramm-Schmidtov postupak. Simetrične i ortogonalne matrice. Kvadratne forme. Krivulje i plohe drugoga reda. (hr)
sisvu:description Matrices. Rank of matrix. Inverse matrix. Linear systems of equations. Gauss method of elimination. Vectors in 3-space. Scalar and cross product. Elements of analytic geometry in 3-space. Straight lines and planes in 3-space. Vector spaces. Linear operators. Eigenvectors and eigenvalues. Diagonalization. Characteristic polynomial and Hamilton-Cayley's theorem. Scalar product and norm. Unitary spaces. Gramm-Schmidt ortogonalization algorithm. Symmetric and orthogonal matrices. Quadratic forms. Curves and surfaces of second order. (en)
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