Linear algebra

Dr. Valentina Miovska, Professor

Course content:

Vectors in R ⁿ.

Matrices and operations with matrices, types of matrices, row equivalence, elementary row transformations, rank of a matrix, solving systems of equations using matrices (Gauss method, Kronecker-Capelli theorem), singular and non-singular matrices, matrix inverse, matrix equations.

Concept of vector space and subspace, linear dependence and independence of vectors, basis and dimension.

Linear mapping.

Determinants.

Solving systems of equations using determinants. 

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