Goal of the project was to implement numerical methods for solving systems of linear algebraic equations using MATLAB software. First of all I had to learn the structures of programming in MATLAB, later on I was able to implement and test numerical algorithms for solving given problems. All results, comments and conclusion are placed in this report. At the end of the report one can find my MATLAB programs, and sources which were used as a help for me during evaluation. Each task is presented under separated heading, with its full descr iption, problem discussion, my approach for solving it and explanation.