MATH 201 – Linear algebra

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MATH 201 – Linear algebra; Weekly hours: 2+1, ECTS: 5
To become familiar with methods of linear algebra and to acquire ability to solve problems related to applications of linear algebra. The curriculum includes the following themes: Analytic geometry (review), line and second order curves; Vectors, operations with vectors, vector spaces and subspaces, Analytic geometry in three dimensions; Matrices and matrix operations, types of matrices, inverse matrices and methods for their computing; Systems of linear equations, Gaussian eliminations, elementary and permutation matrices, LU decomposition; Linear independence, dimension and basis of vector spaces; Determinants and their properties; Singular matrices, rank, cofactors and general formula for inverse matrix, Cramer’s rule, geometric interpretation of determinant; Eigenvalues and eigenvectors, computation of maximum eigenvalue, complex matrices and diagonalization, powers of matrices, functions of matrices, Cayley-Hamilton theorem, least squares estimate; Introduction to MATLAB, matrix operations; Introduction to Mathematica, Symbolic operations using computer.