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Linear Algebra

Vector calculus, lines and planes in 3-space. Linear spaces. Row operations and linear independency. Linear systems. Matrices, determinants, linear mappings (inverse matrix, matrix of a linear mapping, change of basis matrix). Eigenvalues and eigenvectors of linear transformations and matrices (characteristic polynomial, Cayley-Hamilton theorem, matrix diagonalization). Orthogonal and symmetric matrices. Quadratic forms and applications.

Semester: 1
Teaching credits: 3
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