Algebra and Graph Theory
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Code  Completion  Credits  Range 

11ATG  Z,ZK  4  2+2 
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 Department of Applied Mathematics
 Synopsis:

Vector spaces, vectors, linear independence, bases. Matrices, rank, trace, linear mapping, special matrices. System of linear equation. Eigenvectors and eigenvalues of matrices, similar matrices, the characteristic matrix and characteristic polynomial of a matrix. Quadratic forms  diagonal form, associated symmetric matrix, signature, Sylvester´s Inertia Law. Basic definitions of Graph Theory (oriented graphs, walk, trail, path, cycle, trees).
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